Question

solve the linear equation for b. 2b + 7 + 3b = 22

Explanation:

Step1: Combine like terms

Combine the terms with \( b \): \( 2b + 3b = 5b \), so the equation becomes \( 5b + 7 = 22 \).

Step2: Subtract 7 from both sides

Subtract 7 from each side: \( 5b + 7 - 7 = 22 - 7 \), which simplifies to \( 5b = 15 \).

Step3: Divide by 5

Divide both sides by 5: \( \frac{5b}{5} = \frac{15}{5} \), resulting in \( b = 3 \).

Answer:

\( b = 3 \)