What is the answer to (13+2x)/(4x+1)= 3/4 ?

The answer to (13+2x)/(4x+1)= 3/4 is x= 49/4

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(13+2x)/(4x+1)= 3/4

\frac{13 + 2 x}{4 x + 1} = \frac{3}{4}

x = \frac{49}{4}

Decimal Notation

x = 12.25

Solution steps

\frac{13 + 2 x}{4 x + 1} = \frac{3}{4}

Cross multiply

52 + 8 x = 12 x + 3

Move

52

to the right side

8 x = 12 x - 49

Move

12 x

to the left side

- 4 x = - 49

Divide both sides by

- 4

x = \frac{49}{4}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{1}{4}

Combine undefined points with solutions:

x = \frac{49}{4}

\frac{20}{- d} = - 15

x, \frac{3}{x} + 7 y + z = 9

\frac{5}{x + 2} - \frac{2 x - 1}{5} = 0

\frac{8 x}{x + 1} = 4 - \frac{8}{x + 1}

\frac{4 x}{x - 1} + \frac{x}{x - 2} = 0

What is the answer to (13+2x)/(4x+1)= 3/4 ?
The answer to (13+2x)/(4x+1)= 3/4 is x= 49/4
Solve for x: (13+2x)/(4x+1)= 3/4
The solution is x= 49/4