Question

What value of x makes the following equation true? 15+3x=3(2−2x)

Answer 1

Answer:

$\boxed {x = -1}$

Step-by-step explanation:

Solve for the value of $x$:

$15 + 3x = 3(2 - 2x)$

-Use Distributive Property:

$15 + 3x = 3(2 - 2x)$

$15 + 3x = 6 - 6x$

-Take $6x$ and add it to $3x$:

$15 + 3x + 6x = 6 + 6x - 6x$

$15 + 9x = 6$

-Subtract both sides by $15$:

$15 - 15 + 9x = 6 - 15$

$9x = -9$

-Divide both sides by $9$:

$\frac{9x}{9} = \frac{-9}{9}$

$\boxed {x = -1}$

Therefore, the value of $x$ is $-1$.