10-2(a-1)=6+a

Solution for 10-2(a-1)=6+a equation:

Simplifying
10 + -2(a + -1) = 6 + a

Reorder the terms:
10 + -2(-1 + a) = 6 + a
10 + (-1 * -2 + a * -2) = 6 + a
10 + (2 + -2a) = 6 + a

Combine like terms: 10 + 2 = 12
12 + -2a = 6 + a

Solving
12 + -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.
12 + -2a + -1a = 6 + a + -1a

Combine like terms: -2a + -1a = -3a
12 + -3a = 6 + a + -1a

Combine like terms: a + -1a = 0
12 + -3a = 6 + 0
12 + -3a = 6

Add '-12' to each side of the equation.
12 + -12 + -3a = 6 + -12

Combine like terms: 12 + -12 = 0
0 + -3a = 6 + -12
-3a = 6 + -12

Combine like terms: 6 + -12 = -6
-3a = -6

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

Simplifying
a = 2