What is the answer to (x-5)/(x+8)= 2/7 ?

The answer to (x-5)/(x+8)= 2/7 is x= 51/5

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(x-5)/(x+8)= 2/7

\frac{x - 5}{x + 8} = \frac{2}{7}

x = \frac{51}{5}

Decimal Notation

x = 10.2

Solution steps

\frac{x - 5}{x + 8} = \frac{2}{7}

Cross multiply

7 x - 35 = 2 x + 16

Move

35

to the right side

7 x = 2 x + 51

Move

2 x

to the left side

5 x = 51

Divide both sides by

5

x = \frac{51}{5}

Verify Solutions

Find undefined (singularity) points:

x = - 8

Combine undefined points with solutions:

x = \frac{51}{5}

v, C = \frac{Q}{v}

\frac{x ^{4}}{x} = \frac{48}{24}

t, \frac{d}{t} = r

\frac{5}{3 x + 8} + \frac{2}{x - 1} = 0

- \frac{9}{w} = 6

What is the answer to (x-5)/(x+8)= 2/7 ?
The answer to (x-5)/(x+8)= 2/7 is x= 51/5
Solve for x: (x-5)/(x+8)= 2/7
The solution is x= 51/5