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

Jaden Easton 2021-09-25 Answered
Solve the equation.
13+2x4x+1=34
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Expert Answer

Laith Petty
Answered 2021-09-26 Author has 103 answers
Step 1
The given equation is,
13+2x4x+1=34
The objective is to solve the equation for x.
Cross multiplication rule: If ab=cd, then a*d=b*c.
Step 2
Use cross multiplication rule to solve the equation as follows.
13+2x4x+1=34
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
x=494 or x=12.25
Thus, the solution of the equation is x=494 or x=12.25.
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