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

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

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

Reorder the terms:
4(3 + a) + -6 = 3(a + 3) + -6
(3 * 4 + a * 4) + -6 = 3(a + 3) + -6
(12 + 4a) + -6 = 3(a + 3) + -6

Reorder the terms:
12 + -6 + 4a = 3(a + 3) + -6

Combine like terms: 12 + -6 = 6
6 + 4a = 3(a + 3) + -6

Reorder the terms:
6 + 4a = 3(3 + a) + -6
6 + 4a = (3 * 3 + a * 3) + -6
6 + 4a = (9 + 3a) + -6

Reorder the terms:
6 + 4a = 9 + -6 + 3a

Combine like terms: 9 + -6 = 3
6 + 4a = 3 + 3a

Solving
6 + 4a = 3 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
6 + 4a + -3a = 3 + 3a + -3a

Combine like terms: 4a + -3a = 1a
6 + 1a = 3 + 3a + -3a

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

Add '-6' to each side of the equation.
6 + -6 + 1a = 3 + -6

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

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

Divide each side by '1'.
a = -3

Simplifying
a = -3