Question

1. 9 + 3(x - 2) = 2x + 16

Explanation:

Step1: Expand the left - hand side

Using the distributive property \(a(b + c)=ab+ac\), for \(3(x - 2)\), we have \(3\times x-3\times2 = 3x-6\). So the equation \(9 + 3(x - 2)=2x + 16\) becomes \(9+3x - 6=2x + 16\).

Step2: Simplify the left - hand side

Combine like terms: \(9-6 = 3\), so the equation is \(3x+3=2x + 16\).

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

Subtract \(2x\) from each side of the equation \(3x + 3=2x+16\): \(3x-2x+3=2x - 2x+16\), which simplifies to \(x + 3=16\).

Step4: Subtract 3 from both sides

Subtract 3 from each side of the equation \(x + 3=16\): \(x+3 - 3=16 - 3\).

Answer:

\(x = 13\)