What is the answer to (x+3)/(x+6)= 4/7 ?

The answer to (x+3)/(x+6)= 4/7 is x=1

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(x+3)/(x+6)= 4/7

\frac{x + 3}{x + 6} = \frac{4}{7}

x = 1

Solution steps

\frac{x + 3}{x + 6} = \frac{4}{7}

Cross multiply

7 x + 21 = 4 x + 24

Move

21

to the right side

7 x = 4 x + 3

Move

4 x

to the left side

3 x = 3

Divide both sides by

3

x = 1

Verify Solutions

Find undefined (singularity) points:

x = - 6

Combine undefined points with solutions:

x = 1

\frac{x}{x - 5} = \frac{4}{x - 4}

\frac{1}{m ^{3}} = \frac{8}{125}

x, F = - \frac{K}{x ^{2}}

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

\frac{250}{x} = 0.35