Question

3(x + 5) = -5 + 2x + 20 + x

Explanation:

Step1: Expand left side

Expand \(3(x + 5)\) using distributive property: \(3x + 15\).

Step2: Simplify right side

Combine like terms on right: \(-5 + 20 + 2x + x = 15 + 3x\).

Step3: Set equal and solve

Equation becomes \(3x + 15 = 3x + 15\). Subtract \(3x\) from both sides: \(15 = 15\). This is an identity, true for all \(x\).

Answer:

The equation is an identity, true for all real numbers \(x\).