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8-10.
  1. Solve the equations below for the variable. Be sure to check your answer. Homework Help ✎

    1. 3(2x − 1) + 2 = 5x

    2. 600x + 200 = 500x

Distrubute.

Combine like terms.

Subtract 5x from each side.

Add 1 to each side.

3(2x) − 3(1) + 2 = 5x

6x − 3 + 2 = 5x

6x − 1 = 5x

−5x + 6x − 1 = 5x −5x
x − 1 = 0

x − 1 +1 = 0 +1 +1

x = 1

Divide each term by 100.

Substitute 1 back into the original equation to check your answer.

3(2(1) − 1) + 2 = 5(1)

When you simplify this expression, do you get the same values on each side?