### Home > CC2 > Chapter 6 > Lesson 6.2.6 > Problem6-122

6-122.

Simplify and solve each equation below for $x$. Show your work and record your final answer.

1. $24+2x=3x+2(3·4)$

Use the Order of Operations to simplify the equation.

$\begin{array}{l} 24+2x=3x+2(3·4)\\ 24+2x=3x+2(12)\\ 24+2x=3x+24 \end{array}$

Start isolating the variable by subtracting $24$ from each side of the equation.

$\array{ 24+2x=3x+24\\ -24\qquad \qquad -24\\ 2x=3x}$

Continue to isolate the variable by subtracting $2x$ from both sides.

$\begin{array}{l} \quad 2x=3x\\ -2x \; -2x\\ \quad \; 0=x \end{array}$

$x=0$

2. $24+3x=3x+3(7-1)$

Follow the method of isolating the variable as presented in part (a).

3. $2(12+x)=2x+24$

Follow the method of isolating the variable as presented in part (a).