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

The answer to 2/(3x+5)=3 is x=-13/9

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2/(3x+5)=3

\frac{2}{3 x + 5} = 3

x = - \frac{13}{9}

Solution steps

\frac{2}{3 x + 5} = 3

Multiply both sides by

3 x + 5

2 = 3 (3 x + 5)

Switch sides

3 (3 x + 5) = 2

Divide both sides by

3

3 x + 5 = \frac{2}{3}

Move

5

to the right side

3 x = - \frac{13}{3}

Divide both sides by

3

x = - \frac{13}{9}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{5}{3}

Combine undefined points with solutions:

x = - \frac{13}{9}

\frac{8}{z} - z = 4

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

R, P = \frac{6 0 ^{2}}{R}

\frac{t}{t - 9} = \frac{t + 9}{- 24}

1 + \frac{8}{x - 1} = \frac{8 x}{x - 1}