Question
Solve for x: 2(x + 1) × 4(x − 2) = 32
Solution
Write all terms as powers of 2. 4 = 2², 32 = 2⁵ So, 2(x + 1) × (2²)(x − 2) = 2⁵ ⇒ 2(x + 1) × 2(2x − 4) = 2⁵ ⇒ 2(3x − 3) = 2⁵ Thus, 3x − 3 = 5 3x = 8 x = 8/3 Answer: x = 8/3.
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