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

The answer to 3/(x+4)= 2/(3x-2) is x=2

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3/(x+4)= 2/(3x-2)

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

x = 2

Solution steps

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

Cross multiply

9 x - 6 = 2 x + 8

Move

6

to the right side

9 x = 2 x + 14

Move

2 x

to the left side

7 x = 14

Divide both sides by

7

x = 2

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

x = 2

\frac{9}{x} + 6 = \frac{2}{3 x}

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

\frac{3}{x + 4} = 4 + \frac{5}{x - 2}

0 = \frac{x ^{2} + 3 x}{( 3 x + 1 ) ^{2}}

r, F = G \frac{mm}{r ^{2}}

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