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

The answer to x/(4x+3)=3 is x=-9/11

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x/(4x+3)=3

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

x = - \frac{9}{11}

Decimal Notation

x = - 0.81818 \dots

Solution steps

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

Multiply both sides by

4 x + 3

x = 3 (4 x + 3)

Expand

3 (4 x + 3) : 12 x + 9

x = 12 x + 9

Move

12 x

to the left side

- 11 x = 9

Divide both sides by

- 11

x = - \frac{9}{11}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{3}{4}

Combine undefined points with solutions:

x = - \frac{9}{11}

8 = \frac{1}{x}

y, x = \frac{3 + x}{y}

\frac{5 x - 3}{2 x + 1} = \frac{2}{7}

\frac{1}{x + 4} + 3 = \frac{16}{x + 4}

xx + (\frac{2 x}{x + 2})^{2} = 5