### Home > GB8I > Chapter 10 Unit 11 > Lesson INT1: 10.1.2 > Problem10-27

10-27.

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

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.