What is the answer to (2x-5)/(5+2x)= 7/4 ?

The answer to (2x-5)/(5+2x)= 7/4 is x=-55/6

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(2x-5)/(5+2x)= 7/4

\frac{2 x - 5}{5 + 2 x} = \frac{7}{4}

x = - \frac{55}{6}

Decimal Notation

x = - 9.16666 \dots

Solution steps

\frac{2 x - 5}{5 + 2 x} = \frac{7}{4}

Cross multiply

8 x - 20 = 35 + 14 x

Move

20

to the right side

8 x = 14 x + 55

Move

14 x

to the left side

- 6 x = 55

Divide both sides by

- 6

x = - \frac{55}{6}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{5}{2}

Combine undefined points with solutions:

x = - \frac{55}{6}

\frac{1}{x} = 0.8489

7 + \frac{2}{x - 8} = x

\frac{1}{( x - 2 ) ^{2}} - \frac{12}{x - 2} + 35 = 0

\frac{2}{x + 2} = \frac{2 x + 1}{x + 1}

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

What is the answer to (2x-5)/(5+2x)= 7/4 ?
The answer to (2x-5)/(5+2x)= 7/4 is x=-55/6
Solve for x: (2x-5)/(5+2x)= 7/4
The solution is x=-55/6