Question bank / Linear equations in one variable

Math · AlgebraMedium

What is the solution to the equation 0.4(x+15)=0.6x−20.4(x + 15) = 0.6x - 2?

A

44

B

2020

C

4040

D

8585

Show answer and explanation

Answer: C

Distribute: 0.4x+6=0.6x−20.4x + 6 = 0.6x - 2. Subtract 0.4x0.4x and add 2 to both sides: 8=0.2x8 = 0.2x. Divide by 0.20.2: x=40x = 40.

Choice D comes from failing to distribute the 0.40.4 to the 15, which gives 0.4x+15=0.6x−20.4x + 15 = 0.6x - 2.

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