Solve the equation

Answer

Graph

$y = 3 x - 5$

$y = 2 x + 3$

$x$Intercept

$\left ( \dfrac { 5 } { 3 } , 0 \right )$

$y$Intercept

$\left ( 0 , - 5 \right )$

$x$Intercept

$\left ( - \dfrac { 3 } { 2 } , 0 \right )$

$y$Intercept

$\left ( 0 , 3 \right )$

$x = 8$

$ $ Solve a solution to $ x$

$3 x - 5 = \color{#FF6800}{ 2 } \color{#FF6800}{ x } + 3$

$ $ Move the variable to the left-hand side and change the symbol $ $

$3 x - 5 \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } = 3$

$3 x \color{#FF6800}{ - } \color{#FF6800}{ 5 } - 2 x = 3$

$ $ Move the constant to the right side and change the sign $ $

$3 x - 2 x = 3 \color{#FF6800}{ + } \color{#FF6800}{ 5 }$

$\color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } = 3 + 5$

$ $ Organize the expression $ $

$\color{#FF6800}{ x } = 3 + 5$

$x = \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 5 }$

$ $ Add $ 3 $ and $ 5$

$x = \color{#FF6800}{ 8 }$

Solution search results

$7.S$ Solve the following equation $1$ point
$7x-5=2x^{x}$

7th-9th grade

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