# How do you solve <mstyle displaystyle="true"> | 2 x

How do you solve $|2x+3|+4=5x$
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Step 1
Solve:
$|2x+3|+4=5x$
Since $|a|=a$ and $|-a|=a$ , there is both a positive and negative component to the equation, therefore you will have two equations to solve.
First Equation: $\left(2x+3\right)$ is Positive
$2x+3+4=5x$
Subtract 2x from both sides.
$3+4=5x-2x$
Simplify.
$7=3x$
Divide both sides by 3.
$\frac{7}{3}=x$
Switch sides.
$x=\frac{7}{3}$
Second Equation: $\left(2+3\right)$ is Negative
$-\left(2x+3\right)+4=5x$
Simplify.
$-2x-3+4=5x$
$-3+4=5x+2x$
Simplify.
$1=7x$
Divide both sides by 7.
$\frac{1}{7}=x$
Switch sides.
$x=\frac{1}{7}$
Therefore:
$x=\frac{1}{7},\frac{7}{3}$