What is the answer to 3=(a-(-3))/(5-a) ?

The answer to 3=(a-(-3))/(5-a) is a=3

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3=(a-(-3))/(5-a)

3 = \frac{a - ( - 3 )}{5 - a}

a = 3

Solution steps

3 = \frac{a - ( - 3 )}{5 - a}

Simplify

\frac{a - ( - 3 )}{5 - a} : \frac{a + 3}{5 - a}

3 = \frac{a + 3}{5 - a}

Multiply both sides by

5 - a

3 (5 - a) = a + 3

Expand

3 (5 - a) : 15 - 3 a

15 - 3 a = a + 3

Move

15

to the right side

- 3 a = a - 12

Move

a

to the left side

- 4 a = - 12

Divide both sides by

- 4

a = 3

Verify Solutions

Find undefined (singularity) points:

a = 5

Combine undefined points with solutions:

a = 3

\frac{1}{x ^{2}} = \frac{1}{4}

\frac{( 2 x + 20 )}{2 x} = 5 x - 4

\frac{2}{x + 2} + \frac{5}{3 x} = 4 x

\frac{2}{x} = \frac{x}{8}

x + \frac{2}{x} - 3 = 0