Home > AC > Chapter 4 > Lesson 4.1.4 > Problem4-32

4-32.

For each equation below, solve for $x$. Check your solution, if possible, and show all work.

1. $3x − 6 + 1 = − 2x − 5 + 5x$

1. $−2x − 5 = 2 − 4x − \left(x − 1\right)$

Combine like terms.

$3x − 5 = 3x − 5$

Add $5$ to both sides.

$3x − 5 = 3x − 5$
$+5 +5$

$3x = 3x$

Since $3x$ is always equal to $3x,$ any number makes this statement true.

Follow the steps in part (a).

$x=\frac{8}{3}$