What is the answer to (15)/(4x-3)=7 ?

The answer to (15)/(4x-3)=7 is x= 9/7

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(15)/(4x-3)=7

\frac{15}{4 x - 3} = 7

x = \frac{9}{7}

Decimal Notation

x = 1.28571 \dots

Solution steps

\frac{15}{4 x - 3} = 7

Multiply both sides by

4 x - 3

15 = 7 (4 x - 3)

Switch sides

7 (4 x - 3) = 15

Divide both sides by

7

4 x - 3 = \frac{15}{7}

Move

3

to the right side

4 x = \frac{36}{7}

Divide both sides by

4

x = \frac{9}{7}

Verify Solutions

Find undefined (singularity) points:

x = \frac{3}{4}

Combine undefined points with solutions:

x = \frac{9}{7}

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

200 = \frac{40 + 20 x}{1 + 0.05 x}

\frac{44}{x} = 4

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

6 = \frac{( - 2 x + 2 )}{x + 3}