### Home > AC > Chapter 3 > Lesson 3.2.1 > Problem3-73

3-73.

For the following equations, solve for $x$. Be sure to check your answer, if possible. Show all work.

1. $3x+7=−x−1$

Subtract $7$ from both sides.

$3x+7=−x−1$
$−7−7$

Get the variable on a side by itself.

$3x=−x−8$
$+x+x$

$4x=−8$

$x=−2$

1. $1−2x−5=4x+2$

Follow the steps in part (a).

1. $−3x=x−(6−2x)$

Follow the steps in part (a).

How does the negative sign in front of the parentheses change what is inside?

1. $2x+3=−2x+5$

Follow the steps in part (a).

$x=0.5$