What is the answer to 3/(x+4)= 2/7 ?

The answer to 3/(x+4)= 2/7 is x= 13/2

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3/(x+4)= 2/7

\frac{3}{x + 4} = \frac{2}{7}

x = \frac{13}{2}

Decimal Notation

x = 6.5

Solution steps

\frac{3}{x + 4} = \frac{2}{7}

Cross multiply

21 = (x + 4) \cdot 2

Switch sides

(x + 4) \cdot 2 = 21

Divide both sides by

2

x + 4 = \frac{21}{2}

Move

4

to the right side

x = \frac{13}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 4

Combine undefined points with solutions:

x = \frac{13}{2}

x^{- 2} = 81

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

\frac{2}{x + 1} = \frac{4}{x}

\frac{g}{h} = e - 10

x, \frac{x}{x + y} = 0.7