What is the answer to 3/(4(2x-3))=1 ?

The answer to 3/(4(2x-3))=1 is x= 15/8

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3/(4(2x-3))=1

\frac{3}{4 ( 2 x - 3 )} = 1

x = \frac{15}{8}

Decimal Notation

x = 1.875

Solution steps

\frac{3}{4 ( 2 x - 3 )} = 1

Multiply both sides by

4 (2 x - 3)

3 = 4 (2 x - 3)

Switch sides

4 (2 x - 3) = 3

Divide both sides by

4

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

Move

3

to the right side

2 x = \frac{15}{4}

Divide both sides by

2

x = \frac{15}{8}

Verify Solutions

Find undefined (singularity) points:

x = \frac{3}{2}

Combine undefined points with solutions:

x = \frac{15}{8}

1 - \frac{3}{x} = 0

b, \frac{d}{b} = (\frac{n}{q})^{3}

y, \frac{1}{x} + \frac{3}{y + 1} = \frac{5}{4}

- 7 = \frac{x ^{2} + ( 5 - a ) x - 5 a}{x + 5}

\frac{2}{3} = \frac{1}{y} + \frac{1}{6}