Question

2 - 3(2x + 2) = 5 - 9x

Explanation:

Step1: Expand the left - hand side

Using the distributive property \(a(b + c)=ab+ac\), for \(2-3(2x + 2)\), we have:
\(2-3\times2x-3\times2=2 - 6x-6=-6x - 4\)
So the equation becomes \(-6x - 4=5-9x\)

Step2: Move the terms with \(x\) to one side

Add \(9x\) to both sides of the equation:
\(-6x+9x - 4=5-9x + 9x\)
\(3x-4 = 5\)

Step3: Solve for \(x\)

Add 4 to both sides:
\(3x-4 + 4=5 + 4\)
\(3x=9\)
Divide both sides by 3:
\(x=\frac{9}{3}=3\)

Answer:

\(x = 3\)