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

The answer to x/(2x+2)= 3/(x-4) is x=5+sqrt(31),x=5-sqrt(31)

Solve for x: x/(2x+2)= 3/(x-4)

The solution is x=5+sqrt(31),x=5-sqrt(31)

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

x = 5 + 31, x = 5 - 31

Decimal Notation

x = 10.56776 \dots, x = - 0.56776 \dots

Solution steps

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

Cross multiply

x (x - 4) = (2 x + 2) \cdot 3

Solve

x (x - 4) = (2 x + 2) \cdot 3 : x = 5 + 31, x = 5 - 31

x = 5 + 31, x = 5 - 31

Verify Solutions

Find undefined (singularity) points:

x = - 1, x = 4

Combine undefined points with solutions:

x = 5 + 31, x = 5 - 31

1 - \frac{1}{x ^{2}} = \frac{4}{5}

t, t + 3 + \frac{3}{t} = 0

0 = \frac{x - 1}{x - 2}

\frac{k}{4} = \frac{k ^{2} - 1}{k}

3 - \frac{2}{9 b} = \frac{1}{3 b} - 7

What is the answer to x/(2x+2)= 3/(x-4) ?
The answer to x/(2x+2)= 3/(x-4) is x=5+sqrt(31),x=5-sqrt(31)
Solve for x: x/(2x+2)= 3/(x-4)
The solution is x=5+sqrt(31),x=5-sqrt(31)