### Home > AC > Chapter 6 > Lesson 6.3.1 > Problem 6-107

6-107.

Solve the following equations for , if possible. Check your solutions.

To solve for *x* you need to isolate the variable, or get it alone.

Distribute

−2 + 3*x* + *x* = 9 − *x*

Add like terms

4*x* − 2 = 9 − *x*

Isolate variable by adding 2 and an *x* to both sides.

5*x* = 11

Divide

*x* = 2.2

Check your answer in the original equation.

Multiply by a common denominator to remove fractions.

Use the same method as seen in part (a) to solve part (b).

*x* = 6

Use the same methods as parts (a) and (b) to solve parts (c) and (d).

*x* = −10.5