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Solve the equation
Answer
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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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