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

The answer to 2/(3x+4)-1= 5/2 is x=-8/7

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

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

x = - \frac{8}{7}

Decimal Notation

x = - 1.14285 \dots

Solution steps

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

Multiply by LCM

- 6 x - 4 = 15 x + 20

Move

4

to the right side

- 6 x = 15 x + 24

Move

15 x

to the left side

- 21 x = 24

Divide both sides by

- 21

x = - \frac{8}{7}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{4}{3}

Combine undefined points with solutions:

x = - \frac{8}{7}

4 - \frac{3}{x} = 6 - \frac{5}{x}

\frac{x + 2}{x} + x = \frac{74}{x}

a = \frac{a + 4}{a - 1}

r = (\frac{t + a}{a t})^{- 1}

\frac{x}{4} = \frac{9}{x}