What is the answer to (2+x)/(7+x)= 5/4 ?

The answer to (2+x)/(7+x)= 5/4 is x=-27

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(2+x)/(7+x)= 5/4

\frac{2 + x}{7 + x} = \frac{5}{4}

x = - 27

Solution steps

\frac{2 + x}{7 + x} = \frac{5}{4}

Cross multiply

8 + 4 x = 35 + 5 x

Move

8

to the right side

4 x = 5 x + 27

Move

5 x

to the left side

- x = 27

Divide both sides by

- 1

x = - 27

Verify Solutions

Find undefined (singularity) points:

x = - 7

Combine undefined points with solutions:

x = - 27

\frac{n - 3}{2 n - 2} = - n

a, \frac{ab + a c}{a} = b + c

w + w^{- 1} = 13

\frac{1}{3 x - \frac{1}{3}} = 12

\frac{8}{3 x - 2} + \frac{6}{x + 1} = 2

What is the answer to (2+x)/(7+x)= 5/4 ?
The answer to (2+x)/(7+x)= 5/4 is x=-27
Solve for x: (2+x)/(7+x)= 5/4
The solution is x=-27