Home > AC > Chapter 4 > Lesson 4.1.7 > Problem4-64

4-64.

Solve each of the following equations and check your answers.

1. $2x-3=7$

Add $3$ to both sides to get the variable by itself.

\begin{align*}2x-3&=7 \\ +3 &+3 \end{align*}

$2x = 10$

Solve for $x$.

$x = 5$

1. $3x+5-x=x-3$

Combine like terms.

Follow the steps in part (a).

1. $5x-\left(x+1\right)=6-2x$

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

Follow the steps in part (b).

1. $0.5x-5=x+4$

Follow the steps in part (b).

$x=-18$