# Solve the equation. \frac{13+2x}{4x+1}=\frac{3}{4}

Solve the equation.
$\frac{13+2x}{4x+1}=\frac{3}{4}$
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Laith Petty
Step 1
The given equation is,
$\frac{13+2x}{4x+1}=\frac{3}{4}$
The objective is to solve the equation for x.
Cross multiplication rule: If $\frac{a}{b}=\frac{c}{d}$, then a*d=b*c.
Step 2
Use cross multiplication rule to solve the equation as follows.
$\frac{13+2x}{4x+1}=\frac{3}{4}$
4(13+2x)=3(4x+1)
4*13+4*2x=3*4x+3*1
52+8x=12x+3
12x+3=52+8x
Subtract 52 on both sides of the equation.
12x+3−3=52+8x−3
12x=49+8x
Subtract 8x on both sides of the equation.
12x−8x=49+8x−8x
4x=49

Thus, the solution of the equation is $x=\frac{49}{4}$ or x=12.25.