What is the answer to (4x+3)/(4x-7)= 5/3 ?

The answer to (4x+3)/(4x-7)= 5/3 is x= 11/2

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(4x+3)/(4x-7)= 5/3

\frac{4 x + 3}{4 x - 7} = \frac{5}{3}

x = \frac{11}{2}

Solution steps

\frac{4 x + 3}{4 x - 7} = \frac{5}{3}

Cross multiply

12 x + 9 = 20 x - 35

Move

9

to the right side

12 x = 20 x - 44

Move

20 x

to the left side

- 8 x = - 44

Divide both sides by

- 8

x = \frac{11}{2}

Verify Solutions

Find undefined (singularity) points:

x = \frac{7}{4}

Combine undefined points with solutions:

x = \frac{11}{2}

x \frac{3}{x} + 5 = 0

0 = \frac{x ^{2} - 4}{x - 2}

10 - \frac{19}{x} = 4 + \frac{5}{x}

\frac{1000 p - 10000}{1000 p} = 0.25

\frac{x}{x - 4} = 7

What is the answer to (4x+3)/(4x-7)= 5/3 ?
The answer to (4x+3)/(4x-7)= 5/3 is x= 11/2
Solve for x: (4x+3)/(4x-7)= 5/3
The solution is x= 11/2