Question

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

Expand the left side: \(3(3 - 3x)=9 - 9x\)
Expand the right side: \(2(x + 3)-30 = 2x+6 - 30=2x - 24\)
Now the equation is \(9 - 9x=2x - 24\)

Step2: Move variables to one side

Add \(9x\) to both sides: \(9=2x + 9x-24\)
Simplify: \(9 = 11x-24\)

Step3: Move constants to one side

Add 24 to both sides: \(9 + 24=11x\)
Simplify: \(33 = 11x\)

Step4: Solve for x

Divide both sides by 11: \(x=\frac{33}{11}=3\)

Answer:

\(x = 3\)