What is the answer to x/(3x-5)=2x+6 ?

The answer to x/(3x-5)=2x+6 is x=(-7+sqrt(769))/(12),x=(-7-sqrt(769))/(12)

Solve for x: x/(3x-5)=2x+6

The solution is x=(-7+sqrt(769))/(12),x=(-7-sqrt(769))/(12)

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\frac{x}{3 x - 5} = 2 x + 6

x = \frac{- 7 + 769}{12}, x = \frac{- 7 - 769}{12}

Decimal Notation

x = 1.72757 \dots, x = - 2.89423 \dots

Solution steps

\frac{x}{3 x - 5} = 2 x + 6

Multiply both sides by

3 x - 5

x = 2 x (3 x - 5) + 6 (3 x - 5)

Solve

x = 2 x (3 x - 5) + 6 (3 x - 5) : x = \frac{- 7 + 769}{12}, x = \frac{- 7 - 769}{12}

x = \frac{- 7 + 769}{12}, x = \frac{- 7 - 769}{12}

Verify Solutions

Find undefined (singularity) points:

x = \frac{5}{3}

Combine undefined points with solutions:

x = \frac{- 7 + 769}{12}, x = \frac{- 7 - 769}{12}

a, r = \frac{a}{1 - a}

- \frac{56}{f} = - 7

2 + \frac{1}{x ^{2}} = 0

\frac{14}{x} = \frac{x + 1}{33}

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

What is the answer to x/(3x-5)=2x+6 ?
The answer to x/(3x-5)=2x+6 is x=(-7+sqrt(769))/(12),x=(-7-sqrt(769))/(12)
Solve for x: x/(3x-5)=2x+6
The solution is x=(-7+sqrt(769))/(12),x=(-7-sqrt(769))/(12)