2(3(1-a)-2(2-a))=a+7

Solution for 2(3(1-a)-2(2-a))=a+7 equation:

Simplifying
2(3(1 + -1a) + -2(2 + -1a)) = a + 7
2((1 * 3 + -1a * 3) + -2(2 + -1a)) = a + 7
2((3 + -3a) + -2(2 + -1a)) = a + 7
2(3 + -3a + (2 * -2 + -1a * -2)) = a + 7
2(3 + -3a + (-4 + 2a)) = a + 7

Reorder the terms:
2(3 + -4 + -3a + 2a) = a + 7

Combine like terms: 3 + -4 = -1
2(-1 + -3a + 2a) = a + 7

Combine like terms: -3a + 2a = -1a
2(-1 + -1a) = a + 7
(-1 * 2 + -1a * 2) = a + 7
(-2 + -2a) = a + 7

Reorder the terms:
-2 + -2a = 7 + a

Solving
-2 + -2a = 7 + 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.
-2 + -2a + -1a = 7 + a + -1a

Combine like terms: -2a + -1a = -3a
-2 + -3a = 7 + a + -1a

Combine like terms: a + -1a = 0
-2 + -3a = 7 + 0
-2 + -3a = 7

Add '2' to each side of the equation.
-2 + 2 + -3a = 7 + 2

Combine like terms: -2 + 2 = 0
0 + -3a = 7 + 2
-3a = 7 + 2

Combine like terms: 7 + 2 = 9
-3a = 9

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

Simplifying
a = -3