Simplify the expression 5(b + 2) − 3(2b − 1).
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Worked Solution
Step 1: Expand 5(b + 2).
5 × b = 5b
5 × 2 = 10
Result: 5b + 10
Step 2: Expand −3(2b − 1). Multiply every term inside by −3.
−3 × 2b = −6b
−3 × (−1) = +3
Result: −6b + 3
Step 3: Combine.
5b + 10 − 6b + 3
Step 4: Collect like terms.
b terms: 5b − 6b = −b
Constants: 10 + 3 = 13
Final answer: −b + 13
Correct answer: -b + 13
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