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

The answer to (x+6)/(x-3)= 4/7 is x=-18

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

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

x = - 18

Solution steps

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

Cross multiply

7 x + 42 = 4 x - 12

Move

42

to the right side

7 x = 4 x - 54

Move

4 x

to the left side

3 x = - 54

Divide both sides by

3

x = - 18

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = - 18

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

\frac{x}{x + 3} = \frac{2}{x + 5}

y + \frac{1}{y} - 22 = 0

\frac{3}{9} = \frac{3}{x + 2}

(- \frac{1}{2 x})^{2} = 16

What is the answer to (x+6)/(x-3)= 4/7 ?
The answer to (x+6)/(x-3)= 4/7 is x=-18
Solve for x: (x+6)/(x-3)= 4/7
The solution is x=-18