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

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

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

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

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

Remove parenthesis around (6 + -2a)
-6 + 2a = 6 + -2a

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

Combine like terms: 2a + 2a = 4a
-6 + 4a = 6 + -2a + 2a

Combine like terms: -2a + 2a = 0
-6 + 4a = 6 + 0
-6 + 4a = 6

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

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

Combine like terms: 6 + 6 = 12
4a = 12

Divide each side by '4'.
a = 3

Simplifying
a = 3