Question

what is the solution to the equation $5x - 2 = 2x + 13$?

Explanation:

Step1: Isolate x terms

Subtract \(2x\) from both sides: \(5x - 2x - 2 = 2x - 2x + 13\), so \(3x - 2 = 13\).

Step2: Isolate constant term

Add 2 to both sides: \(3x - 2 + 2 = 13 + 2\), so \(3x = 15\).

Step3: Solve for x

Divide both sides by 3: \(\frac{3x}{3} = \frac{15}{3}\), so \(x = 5\).

Answer:

\(x = 5\)