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

The answer to 3/(x-4)=7 is x= 31/7

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3/(x-4)=7

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

x = \frac{31}{7}

Decimal Notation

x = 4.42857 \dots

Solution steps

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

Multiply both sides by

x - 4

3 = 7 (x - 4)

Switch sides

7 (x - 4) = 3

Divide both sides by

7

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

Move

4

to the right side

x = \frac{31}{7}

Verify Solutions

Find undefined (singularity) points:

x = 4

Combine undefined points with solutions:

x = \frac{31}{7}

\frac{25}{70} = \frac{75}{n}

a, b = \frac{h}{2 a}

\frac{- 14}{7 - a} = \frac{2}{a + 5}

\frac{6 \cdot 18}{3 + b} = 48 - b

a, f = \frac{m}{a}