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

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

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

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

x = 4

Solution steps

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

Move

2

to the right side

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

Multiply both sides by

x + 1

2 x - 3 = x + 1

Move

3

to the right side

2 x = x + 4

Move

x

to the left side

x = 4

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = 4

\frac{5}{x} = \frac{15}{x + 20}

\frac{2 x}{x + 8} = \frac{2 x - 8}{x}

(a^{- 1})^{- 1} = a

\frac{1}{x} - \frac{1}{x - 4} = 1

t, s = \frac{2 d}{t}