Question

solve the equation.
$2x + 7 - 5x + 8 = 3(5 + 6x) - 12x$
use the sketch tool or paper if it helps with your thinking.

Explanation:

Step1: Combine like terms (left side)

$2x - 5x + 7 + 8 = -3x + 15$

Step2: Expand right side via distributive property

$3(5) + 3(6x) - 12x = 15 + 18x - 12x$

Step3: Combine like terms (right side)

$15 + (18x - 12x) = 15 + 6x$

Step4: Set sides equal, isolate x terms

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

Step5: Simplify and solve for x

$-9x = 0$
$x = \frac{0}{-9}$

Answer:

$x = 0$