### Home > AC > Chapter 11 > Lesson 11.1.5 > Problem 11-59

11-59.

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*

Add 11 to both sides.

6*x* = 3*x* + 27

Subtract 3*x* from both sides.

3*x* = 27

Solve for *x*.

*x* = 9

Distribute the −2.

Follow the steps in part (a).

Multiply both sides by a common factor of the denominators to remove the fractions.

6 = 10(*k* − 2)

Follow the steps in part (b).

Follow the steps in part (c).

*x* = 7