What is the answer to 7/(x+5)= 6/5 ?

The answer to 7/(x+5)= 6/5 is x= 5/6

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7/(x+5)= 6/5

\frac{7}{x + 5} = \frac{6}{5}

x = \frac{5}{6}

Decimal

x = 0.83333 \dots

Solution steps

\frac{7}{x + 5} = \frac{6}{5}

Cross multiply

35 = (x + 5) \cdot 6

Switch sides

(x + 5) \cdot 6 = 35

Divide both sides by

6

x + 5 = \frac{35}{6}

Move

5

to the right side

x = \frac{5}{6}

Verify Solutions

Find undefined (singularity) points:

x = - 5

Combine undefined points with solutions:

x = \frac{5}{6}

\frac{- 1}{2 x} = \frac{x - 1}{x - 3}

y, \frac{- 2 x + y}{- x + 2 y} = 0

\frac{x + 1}{x + 2} + \frac{x + 2}{x + 3} = 2

\frac{4.2}{3 x} = 7

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