### Home > CC3 > Chapter 8 > Lesson 8.3.1 > Problem 8-133

8-133.

Solve each equation below for the given variable. Be sure to check your solution. Homework Help ✎

6

*x*− 11 = 3*x*+ 16−2(5 − 3

*x*) + 5 = 9 + 3*x*

Isolate *x* on one side and simplify.

Distribute −2 first, then isolate *x* and simplify.

−10 + 6*x* + 5 = 9 + 3*x*

How can you remove the fraction?

You can multiply both sides by *k* − 2.

6 = 10(*k* − 2)

Now simplify.

6 = 10*k* − 20

26 = 10*k*

How can you remove the fractions?

You can use cross multiplication.

4(*x* + 3) = 2(3*x* − 1)

*x* = 7

Remember to show your work.