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

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

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

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

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

Solving
6 + 3a = -12 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
6 + 3a + -4a = -12 + 4a + -4a

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

Combine like terms: 4a + -4a = 0
6 + -1a = -12 + 0
6 + -1a = -12

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

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

Combine like terms: -12 + -6 = -18
-1a = -18

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

Simplifying
a = 18