2(a-3)=3(-2a+6)

Solution for 2(a-3)=3(-2a+6) equation:

Simplifying
2(a + -3) = 3(-2a + 6)

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

Reorder the terms:
-6 + 2a = 3(6 + -2a)
-6 + 2a = (6 * 3 + -2a * 3)
-6 + 2a = (18 + -6a)

Solving
-6 + 2a = 18 + -6a

Solving for variable 'a'.

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

Add '6a' to each side of the equation.
-6 + 2a + 6a = 18 + -6a + 6a

Combine like terms: 2a + 6a = 8a
-6 + 8a = 18 + -6a + 6a

Combine like terms: -6a + 6a = 0
-6 + 8a = 18 + 0
-6 + 8a = 18

Add '6' to each side of the equation.
-6 + 6 + 8a = 18 + 6

Combine like terms: -6 + 6 = 0
0 + 8a = 18 + 6
8a = 18 + 6

Combine like terms: 18 + 6 = 24
8a = 24

Divide each side by '8'.
a = 3

Simplifying
a = 3