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

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

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

Reorder the terms:
4(3 + a) = 3(a + 2)
(3 * 4 + a * 4) = 3(a + 2)
(12 + 4a) = 3(a + 2)

Reorder the terms:
12 + 4a = 3(2 + a)
12 + 4a = (2 * 3 + a * 3)
12 + 4a = (6 + 3a)

Solving
12 + 4a = 6 + 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.
12 + 4a + -3a = 6 + 3a + -3a

Combine like terms: 4a + -3a = 1a
12 + 1a = 6 + 3a + -3a

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

Add '-12' to each side of the equation.
12 + -12 + 1a = 6 + -12

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

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

Divide each side by '1'.
a = -6

Simplifying
a = -6