What is the answer to -(2x+2)/(x+3)=6 ?

The answer to -(2x+2)/(x+3)=6 is x=-5/2

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-(2x+2)/(x+3)=6

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

x = - \frac{5}{2}

Solution steps

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

Multiply both sides by

x + 3

- (2 x + 2) = 6 (x + 3)

Expand

- (2 x + 2) : - 2 x - 2

Expand

6 (x + 3) : 6 x + 18

- 2 x - 2 = 6 x + 18

Move

2

to the right side

- 2 x = 6 x + 20

Move

6 x

to the left side

- 8 x = 20

Divide both sides by

- 8

x = - \frac{5}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 3

Combine undefined points with solutions:

x = - \frac{5}{2}

[\frac{x + 4}{2 x - 1}] = 2

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

\frac{8}{3} = \frac{v - 9}{7 v + 4}

y, x = \frac{y}{y - 5}

x^{2} = \frac{1}{x ^{2}}