Question

4x - 16 = 7x + 2

Explanation:

Step1: Move terms with x to one side

Subtract \(4x\) from both sides: \(4x - 16 - 4x = 7x + 2 - 4x\)
Simplify: \(-16 = 3x + 2\)

Step2: Isolate the term with x

Subtract 2 from both sides: \(-16 - 2 = 3x + 2 - 2\)
Simplify: \(-18 = 3x\)

Step3: Solve for x

Divide both sides by 3: \(\frac{-18}{3} = \frac{3x}{3}\)
Simplify: \(x = -6\)

Answer:

\(x = -6\)