What is the answer to 4/(8-x)= 3/4 ?

The answer to 4/(8-x)= 3/4 is x= 8/3

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4/(8-x)= 3/4

\frac{4}{8 - x} = \frac{3}{4}

x = \frac{8}{3}

Decimal Notation

x = 2.66666 \dots

Solution steps

\frac{4}{8 - x} = \frac{3}{4}

Cross multiply

16 = (8 - x) \cdot 3

Switch sides

(8 - x) \cdot 3 = 16

Divide both sides by

3

8 - x = \frac{16}{3}

Move

8

to the right side

- x = - \frac{8}{3}

Divide both sides by

- 1

x = \frac{8}{3}

Verify Solutions

Find undefined (singularity) points:

x = 8

Combine undefined points with solutions:

x = \frac{8}{3}

\frac{3 x}{2 x + 3} = \frac{5}{2 x + 3}

\frac{x - 9}{x - 6} = \frac{2}{9}

\frac{5 x + 2}{3 x + 25} = \frac{1}{2}

\frac{6 x - 19}{6 x + 1} = 5

\frac{2 x - 3}{4 x - 5} = 6