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

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

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

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

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

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

Solving for variable 'x'.

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

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

Combine like terms: -6 + 6 = 0
0 + 2x = 18 + 6 + -6a
2x = 18 + 6 + -6a

Combine like terms: 18 + 6 = 24
2x = 24 + -6a

Divide each side by '2'.
x = 12 + -3a

Simplifying
x = 12 + -3a