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Formula
Solve the equation
Answer
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Graph
$y = \dfrac { 2 } { 3 } x + 2$
$y = 6$
$x$Intercept
$\left ( - 3 , 0 \right )$
$y$Intercept
$\left ( 0 , 2 \right )$
$\dfrac{ 2 }{ 3 } x+2 = 6$
$x = 6$
$ $ Solve a solution to $ x$
$\color{#FF6800}{ \dfrac { 2 } { 3 } } \color{#FF6800}{ x } + 2 = 6$
$ $ Calculate the multiplication expression $ $
$\color{#FF6800}{ \dfrac { 2 x } { 3 } } + 2 = 6$
$\color{#FF6800}{ \dfrac { 2 x } { 3 } } \color{#FF6800}{ + } \color{#FF6800}{ 2 } = \color{#FF6800}{ 6 }$
$ $ Multiply both sides by the least common multiple for the denominators to eliminate the fraction $ $
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 6 } = \color{#FF6800}{ 18 }$
$2 x \color{#FF6800}{ + } \color{#FF6800}{ 6 } = 18$
$ $ Move the constant to the right side and change the sign $ $
$2 x = 18 \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
$2 x = \color{#FF6800}{ 18 } \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
$ $ Subtract $ 6 $ from $ 18$
$2 x = \color{#FF6800}{ 12 }$
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } = \color{#FF6800}{ 12 }$
$ $ Divide both sides by the same number $ $
$\color{#FF6800}{ x } = \color{#FF6800}{ 6 }$
Solution search results
search-thumbnail-3x+2=6
$3x+2=6$
10th-13th grade
Calculus
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