Question

b. 3(x + 2) = 2(x + 8) - 4

Explanation:

Step1: Expand both sides

Using the distributive property \(a(b + c)=ab+ac\), we get:
\(3x + 6 = 2x + 16 - 4\)

Step2: Simplify the right side

Calculate \(16 - 4 = 12\), so the equation becomes:
\(3x + 6 = 2x + 12\)

Step3: Subtract \(2x\) from both sides

\(3x - 2x + 6 = 2x - 2x + 12\)
Which simplifies to:
\(x + 6 = 12\)

Step4: Subtract 6 from both sides

\(x + 6 - 6 = 12 - 6\)
So \(x = 6\)

Answer:

\(x = 6\)