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Home > CAAC > Chapter 6 > Lesson 6.3.1 > Problem 6-107

6-107.
  1. Solve the following equations for x, if possible. Check your solutions. Homework Help ✎

    1. −(2 − 3x) + x = 9 − x

    2. 6/x

    3. 5 − 2(x + 6) = 14

    4. 1/2x − 4 + 1 = −3 − 1/2x

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

Distribute
−2 + 3x + x = 9 − x
Add like terms
4x − 2 = 9 − x
Isolate variable by adding 2 and an x to both sides.
5x = 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