Question

problem 6
solve the equation.
$3(3 - 3x) = 2(x + 3) - 30$
use the sketch tool or paper if it helps with your thinking.

Explanation:

Step1: Expand both sides

$3(3-3x) = 9 - 9x$; $2(x+3)-30 = 2x + 6 - 30 = 2x - 24$
Equation becomes: $9 - 9x = 2x - 24$

Step2: Move x terms to one side

Add $9x$ to both sides: $9 = 11x - 24$

Step3: Isolate constant terms

Add 24 to both sides: $9 + 24 = 11x$
$33 = 11x$

Step4: Solve for x

Divide by 11: $x = \frac{33}{11}$

Answer:

$x = 3$