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

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

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

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

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

Solving
12 + 3a = -6 + 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.
12 + 3a + -2a = -6 + 2a + -2a

Combine like terms: 3a + -2a = 1a
12 + 1a = -6 + 2a + -2a

Combine like terms: 2a + -2a = 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 = -18
1a = -18

Divide each side by '1'.
a = -18

Simplifying
a = -18