9a-3(2a-2)=5(a+2)-3a

Solution for 9a-3(2a-2)=5(a+2)-3a equation:

Simplifying
9a + -3(2a + -2) = 5(a + 2) + -3a

Reorder the terms:
9a + -3(-2 + 2a) = 5(a + 2) + -3a
9a + (-2 * -3 + 2a * -3) = 5(a + 2) + -3a
9a + (6 + -6a) = 5(a + 2) + -3a

Reorder the terms:
6 + 9a + -6a = 5(a + 2) + -3a

Combine like terms: 9a + -6a = 3a
6 + 3a = 5(a + 2) + -3a

Reorder the terms:
6 + 3a = 5(2 + a) + -3a
6 + 3a = (2 * 5 + a * 5) + -3a
6 + 3a = (10 + 5a) + -3a

Combine like terms: 5a + -3a = 2a
6 + 3a = 10 + 2a

Solving
6 + 3a = 10 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
6 + 3a + -2a = 10 + 2a + -2a

Combine like terms: 3a + -2a = 1a
6 + 1a = 10 + 2a + -2a

Combine like terms: 2a + -2a = 0
6 + 1a = 10 + 0
6 + 1a = 10

Add '-6' to each side of the equation.
6 + -6 + 1a = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 1a = 10 + -6
1a = 10 + -6

Combine like terms: 10 + -6 = 4
1a = 4

Divide each side by '1'.
a = 4

Simplifying
a = 4