### Home > MC2 > Chapter 7 > Lesson 7.1.1 > Problem 7-9

7-9.

Solve the equations below for the variable. Be sure to check your answer.

3(2

*x*– 1) + 2 = 5*x*600

*x*+ 200 = 500*x*

Distrubute.

Combine like terms.

Subtract 5*x* from each side.

Add 1 to each side.

3(2*x*) − 3(1) + 2 = 5*x*

6*x* − 3 + 2 = 5*x*

6*x* − 1 = 5*x*

−5*x* + 6*x* − 1 = 5*x* −5*x*

*x* − 1 = 0

*x* − 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?