What is the answer to 6/(x+2)= 3/4 ?

The answer to 6/(x+2)= 3/4 is x=6

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6/(x+2)= 3/4

\frac{6}{x + 2} = \frac{3}{4}

x = 6

Solution steps

\frac{6}{x + 2} = \frac{3}{4}

Cross multiply

24 = (x + 2) \cdot 3

Switch sides

(x + 2) \cdot 3 = 24

Divide both sides by

3

x + 2 = 8

Move

2

to the right side

x = 6

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = 6

\frac{a}{a x - 1} + \frac{b}{b x - 1} = a + b

\frac{t - 9}{t} = \frac{80}{t + 9}

1 - \frac{256}{( x + 4 ) ^{2}} = 0

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

9 + \frac{x}{x - 1} = \frac{1}{x ^{2} - x}