Home > CC4 > Chapter 10 > Lesson 10.1.2 > Problem10-27

10-27.

Solve each equation. Explain or justify your steps for part (b). Homework Help ✎

1. $2(x+1)+3=3(x-1)$

Simplify both sides.
2x + 2 + 3 = 3x − 3
2x + 5 = 3x − 3

Add 3 to both sides leave only one constant.
2x + 5 + 3 = 3x − 3 + 3
2x + 8 = 3x
Then take 2x from both sides to isolate x.
2x + 8 −2x = 3x − 2x

x = 8

2. $|2x+1|=10$

See the help for part (a).

3. $|3.2x-4|=-5.7$

No solution. Explain why.