13-2(a-1)=6+a

Solution for 13-2(a-1)=6+a equation:

Simplifying
13 + -2(a + -1) = 6 + a

Reorder the terms:
13 + -2(-1 + a) = 6 + a
13 + (-1 * -2 + a * -2) = 6 + a
13 + (2 + -2a) = 6 + a

Combine like terms: 13 + 2 = 15
15 + -2a = 6 + a

Solving
15 + -2a = 6 + 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 = 6 + a + -1a

Combine like terms: -2a + -1a = -3a
15 + -3a = 6 + a + -1a

Combine like terms: a + -1a = 0
15 + -3a = 6 + 0
15 + -3a = 6

Add '-15' to each side of the equation.
15 + -15 + -3a = 6 + -15

Combine like terms: 15 + -15 = 0
0 + -3a = 6 + -15
-3a = 6 + -15

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

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

Simplifying
a = 3