3(a+2)-4=2(a-3)+6

Solution for 3(a+2)-4=2(a-3)+6 equation:

Simplifying
3(a + 2) + -4 = 2(a + -3) + 6

Reorder the terms:
3(2 + a) + -4 = 2(a + -3) + 6
(2 * 3 + a * 3) + -4 = 2(a + -3) + 6
(6 + 3a) + -4 = 2(a + -3) + 6

Reorder the terms:
6 + -4 + 3a = 2(a + -3) + 6

Combine like terms: 6 + -4 = 2
2 + 3a = 2(a + -3) + 6

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

Reorder the terms:
2 + 3a = -6 + 6 + 2a

Combine like terms: -6 + 6 = 0
2 + 3a = 0 + 2a
2 + 3a = 2a

Solving
2 + 3a = 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.
2 + 3a + -2a = 2a + -2a

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

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

Add '-2' to each side of the equation.
2 + -2 + 1a = 0 + -2

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

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

Divide each side by '1'.
a = -2

Simplifying
a = -2