What is the answer to (2a-12)/(a+5)=-2 ?

The answer to (2a-12)/(a+5)=-2 is a= 1/2

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(2a-12)/(a+5)=-2

\frac{2 a - 12}{a + 5} = - 2

a = \frac{1}{2}

Decimal Notation

a = 0.5

Solution steps

\frac{2 a - 12}{a + 5} = - 2

Multiply both sides by

a + 5

2 a - 12 = - 2 (a + 5)

Expand

- 2 (a + 5) : - 2 a - 10

2 a - 12 = - 2 a - 10

Move

12

to the right side

2 a = - 2 a + 2

Move

2 a

to the left side

4 a = 2

Divide both sides by

4

a = \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

a = - 5

Combine undefined points with solutions:

a = \frac{1}{2}

\frac{4 x - 9}{x} = \frac{x - 4}{- 1}

\frac{6}{2 x - 8} = \frac{3}{x - 4}

\frac{x + 2}{x - 6} = \frac{- 5}{x}

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

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

What is the answer to (2a-12)/(a+5)=-2 ?
The answer to (2a-12)/(a+5)=-2 is a= 1/2
Solve for a: (2a-12)/(a+5)=-2
The solution is a= 1/2