Question

leonard did his work to solve an equation. did he make an error? -5(4x - 7) + 8 = 3x -20x - 35 + 8 = 3x leonard did not make an error. leonard made an error because he should have simplified inside the parentheses first. -5(-3) + 8 = 3x leonard made an error because multiplying -5 by -7 equals 35. leonard made an error because he should have subtracted 4x from both sides. -5(-7) + 8 = -x

Explanation:

Step1: Apply distributive property

The distributive property for \(-5(4x - 7)\) is \(-5\times4x-5\times(-7)=- 20x + 35\), not \(-20x-35\). Leonard made an error in multiplying \(-5\) by \(-7\).

Answer:

Leonard made an error because multiplying \(-5\) by \(-7\) equals \(35\).