Simplify the algebraic expression: 3(2x - 4) - 2(x - 5).
Answer and explanation
Correct answer: D. 4x - 2
- Step 1: Expand both brackets: 3(2x) - 34 - 2x - 2(-5) = 6x - 12 - 2x + 10. Step 2. Collect like terms: (6x - 2x) + (-12 + 10) = 4x - 2. Answer: 4x - 2. Why not the others: 4x - 22 occurs if -2*(-5) is incorrectly multiplied as -10; 4x + 2 has a sign error on the constant; 5x - 2 has a coefficient error.
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