13-2(a-1)=9+a

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Solution for 13-2(a-1)=9+a equation: 


Simplifying
13 + -2(a + -1) = 9 + a

Reorder the terms:
13 + -2(-1 + a) = 9 + a
13 + (-1 * -2 + a * -2) = 9 + a
13 + (2 + -2a) = 9 + a

Combine like terms: 13 + 2 = 15
15 + -2a = 9 + a

Solving
15 + -2a = 9 + a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-1a' to each side of the equation.
15 + -2a + -1a = 9 + a + -1a

Combine like terms: -2a + -1a = -3a
15 + -3a = 9 + a + -1a

Combine like terms: a + -1a = 0
15 + -3a = 9 + 0
15 + -3a = 9

Add '-15' to each side of the equation.
15 + -15 + -3a = 9 + -15

Combine like terms: 15 + -15 = 0
0 + -3a = 9 + -15
-3a = 9 + -15

Combine like terms: 9 + -15 = -6
-3a = -6

Divide each side by '-3'.
a = 2

Simplifying
a = 2

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