Solve the linear equation for x: 4(2x - 3) - 3(x + 5) = 14.
Answer and explanation
Correct answer: D. x = 41/5
- Step 1: Expand both sets of parentheses: 8x - 12 - 3x - 15 = 14.
- Step 2: Combine like terms: 5x - 27 = 14.
- Step 3: Add 27 to both sides: 5x = 41.
- Step 4: Divide by 5: x = 41/5.
Answer
x = 41/5.
Why not the others: 'x = 41' forgets to divide by the coefficient 5; 'x = 5' rounds to an integer; 'x = 7/5' subtracts 27 instead of adding (14 - 27 = -13).
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