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Formula
Solve the equation
$2x+5a = 30$
$x = - \dfrac { 5 } { 2 } a + 15$
 Solve a solution to $x$
$2 x \color{#FF6800}{ + } \color{#FF6800}{ 5 } \color{#FF6800}{ a } = 30$
 Move the rest of the expression except $x$ term to the right side and replace the sign 
$2 x = 30 \color{#FF6800}{ - } \left ( \color{#FF6800}{ 5 } \color{#FF6800}{ a } \right )$
$2 x = \color{#FF6800}{ 30 } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 5 } \color{#FF6800}{ a } \right )$
 Organize the expression 
$2 x = \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 30 }$
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 30 }$
 Divide both sides by the same number 
$\color{#FF6800}{ x } = \left ( \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 30 } \right ) \color{#FF6800}{ \div } \color{#FF6800}{ 2 }$
$x = \left ( - 5 a + 30 \right ) \color{#FF6800}{ \div } \color{#FF6800}{ 2 }$
 Convert division to multiplication 
$x = \left ( - 5 a + 30 \right ) \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 1 } { 2 } }$
$x = \left ( \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 30 } \right ) \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 1 } { 2 } }$
 Multiply each term in parentheses by $\dfrac { 1 } { 2 }$
$x = \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ a } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 1 } { 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 30 } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 1 } { 2 } }$
$x = \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ a } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 1 } { 2 } } + 30 \times \dfrac { 1 } { 2 }$
 Simplify the expression 
$x = \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 5 } { 2 } } \color{#FF6800}{ a } + 30 \times \dfrac { 1 } { 2 }$
$x = - \dfrac { 5 } { 2 } a + \color{#FF6800}{ 30 } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 1 } { 2 } }$
 Calculate the product of rational numbers 
$x = - \dfrac { 5 } { 2 } a + \color{#FF6800}{ 15 }$
$a = - \dfrac { 2 } { 5 } x + 6$
 Solve a solution to $a$
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } + 5 a = 30$
 Move the rest of the expression except $a$ term to the right side and replace the sign 
$5 a = 30 \color{#FF6800}{ - } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } \right )$
$5 a = \color{#FF6800}{ 30 } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } \right )$
 Organize the expression 
$5 a = \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 30 }$
$\color{#FF6800}{ 5 } \color{#FF6800}{ a } = \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 30 }$
 Divide both sides by the same number 
$\color{#FF6800}{ a } = \left ( \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 30 } \right ) \color{#FF6800}{ \div } \color{#FF6800}{ 5 }$
$a = \left ( - 2 x + 30 \right ) \color{#FF6800}{ \div } \color{#FF6800}{ 5 }$
 Convert division to multiplication 
$a = \left ( - 2 x + 30 \right ) \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 1 } { 5 } }$
$a = \left ( \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 30 } \right ) \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 1 } { 5 } }$
 Multiply each term in parentheses by $\dfrac { 1 } { 5 }$
$a = \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 1 } { 5 } } \color{#FF6800}{ + } \color{#FF6800}{ 30 } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 1 } { 5 } }$
$a = \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 1 } { 5 } } + 30 \times \dfrac { 1 } { 5 }$
 Simplify the expression 
$a = \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 2 } { 5 } } \color{#FF6800}{ x } + 30 \times \dfrac { 1 } { 5 }$
$a = - \dfrac { 2 } { 5 } x + \color{#FF6800}{ 30 } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 1 } { 5 } }$
 Calculate the product of rational numbers 
$a = - \dfrac { 2 } { 5 } x + \color{#FF6800}{ 6 }$
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