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

The answer to x/(3x+4)=5 is x=-10/7

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x/(3x+4)=5

\frac{x}{3 x + 4} = 5

x = - \frac{10}{7}

Decimal Notation

x = - 1.42857 \dots

Solution steps

\frac{x}{3 x + 4} = 5

Multiply both sides by

3 x + 4

x = 5 (3 x + 4)

Expand

5 (3 x + 4) : 15 x + 20

x = 15 x + 20

Move

15 x

to the left side

- 14 x = 20

Divide both sides by

- 14

x = - \frac{10}{7}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{4}{3}

Combine undefined points with solutions:

x = - \frac{10}{7}

2 = \frac{2}{3} - \frac{7}{y}

y - \frac{1}{y} = \frac{3 y}{4}

a c = \frac{d}{r}

\frac{x + 8}{x - 2} = \frac{3}{x}

x, t^{2} = b - \frac{n}{x}