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

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

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

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

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

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

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

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

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

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

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

Divide each side by '-1'.
a = -12

Simplifying
a = -12