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Formula
Solve the equation
Graph
$y = 8 x - 15 x - 30 x - 51 x$
$y = 53 x + 31 x - 172$
$x$Intercept
$\left ( 0 , 0 \right )$
$y$Intercept
$\left ( 0 , 0 \right )$
$x$Intercept
$\left ( \dfrac { 43 } { 21 } , 0 \right )$
$y$Intercept
$\left ( 0 , - 172 \right )$
$8x-15x-30x-51x = 53x+31x-172$
$x = 1$
 Solve a solution to $x$
$\color{#FF6800}{ 8 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 15 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 30 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 51 } \color{#FF6800}{ x } = 53 x + 31 x - 172$
 Calculate between similar terms 
$\color{#FF6800}{ - } \color{#FF6800}{ 88 } \color{#FF6800}{ x } = 53 x + 31 x - 172$
$- 88 x = \color{#FF6800}{ 53 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 31 } \color{#FF6800}{ x } - 172$
 Calculate between similar terms 
$- 88 x = \color{#FF6800}{ 84 } \color{#FF6800}{ x } - 172$
$- 88 x = \color{#FF6800}{ 84 } \color{#FF6800}{ x } - 172$
 Move the variable to the left-hand side and change the symbol 
$- 88 x - 84 x = - 172$
$\color{#FF6800}{ - } \color{#FF6800}{ 88 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 84 } \color{#FF6800}{ x } = - 172$
 Organize the expression 
$\color{#FF6800}{ - } \color{#FF6800}{ 172 } \color{#FF6800}{ x } = - 172$
$\color{#FF6800}{ - } \color{#FF6800}{ 172 } \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 172 }$
 Change the sign of both sides of the equation 
$172 x = 172$
$\color{#FF6800}{ 172 } \color{#FF6800}{ x } = \color{#FF6800}{ 172 }$
 Divide both sides by the same number 
$\color{#FF6800}{ x } = \color{#FF6800}{ 1 }$
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