### Home > AC > Chapter 3 > Lesson 3.2.4 > Problem3-102

3-102.

Simplify each of the following equations and solve for the variable. Show all work and check your solution, if possible.

1. $3x−7+9−2x=x+2$

Combine like terms.

$x+2=x+2$

Subtract $2$ from both sides.

$x+2=x+2$
$\ \ \ −2\ \ \ \ \ \ −2$
$\ \ \ \ \ \ x=x$

Any number makes this true.

1. $−2m+8+m+1=0$

Follow the steps in part (a).

1. $2=x+6−2x$

Follow the steps in part (a).

$x=4$

1. $0.5p=p+5$

Move all the variables to one side.

Follow the steps in part (a).