What is the answer to (4x-3)/(2x+5)=1 ?

The answer to (4x-3)/(2x+5)=1 is x=4

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(4x-3)/(2x+5)=1

\frac{4 x - 3}{2 x + 5} = 1

x = 4

Solution steps

\frac{4 x - 3}{2 x + 5} = 1

Multiply both sides by

2 x + 5

4 x - 3 = 2 x + 5

Move

3

to the right side

4 x = 2 x + 8

Move

2 x

to the left side

2 x = 8

Divide both sides by

2

x = 4

Verify Solutions

Find undefined (singularity) points:

x = - \frac{5}{2}

Combine undefined points with solutions:

x = 4

\frac{1}{x ^{2}} - x = 0

\frac{13}{q} = \frac{5}{4}

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

\frac{1}{x + 1} + 4 = \frac{13}{x + 1}

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