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

The answer to (4x+3)/(5x-3)= 7/5 is x= 12/5

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

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

x = \frac{12}{5}

Decimal Notation

x = 2.4

Solution steps

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

Cross multiply

20 x + 15 = 35 x - 21

Move

15

to the right side

20 x = 35 x - 36

Move

35 x

to the left side

- 15 x = - 36

Divide both sides by

- 15

x = \frac{12}{5}

Verify Solutions

Find undefined (singularity) points:

x = \frac{3}{5}

Combine undefined points with solutions:

x = \frac{12}{5}

4 x^{- 6} + 4 x^{- 3} - 15 = 0

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

\frac{5}{x + 5} = \frac{3}{x + 6}

\frac{1}{1 + 2 ( \frac{x}{4} )} = 0.5

\frac{8 x + 4}{4 - 2 x} = - 6

What is the answer to (4x+3)/(5x-3)= 7/5 ?
The answer to (4x+3)/(5x-3)= 7/5 is x= 12/5
Solve for x: (4x+3)/(5x-3)= 7/5
The solution is x= 12/5