Question

solve the equation. first simplify the expression by combining like terms.
-7b + 8 + 5b = -3b + 13

Explanation:

Step1: Combine like terms on left

Combine \(-7b\) and \(5b\): \(-7b + 5b = -2b\), so left side becomes \(-2b + 8\).
Equation: \(-2b + 8 = -3b + 13\)

Step2: Add \(3b\) to both sides

Add \(3b\) to eliminate \(-3b\) on right: \(-2b + 3b + 8 = -3b + 3b + 13\) → \(b + 8 = 13\)

Step3: Subtract 8 from both sides

Subtract 8: \(b + 8 - 8 = 13 - 8\) → \(b = 5\)

Answer:

\(b = 5\)