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

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

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

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

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

Remove parenthesis around (6 + -3a)
6 + 2a = 6 + -3a

Add '-6' to each side of the equation.
6 + -6 + 2a = 6 + -6 + -3a

Combine like terms: 6 + -6 = 0
0 + 2a = 6 + -6 + -3a
2a = 6 + -6 + -3a

Combine like terms: 6 + -6 = 0
2a = 0 + -3a
2a = -3a

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

Combine like terms: 2a + 3a = 5a
5a = -3a + 3a

Combine like terms: -3a + 3a = 0
5a = 0

Divide each side by '5'.
a = 0

Simplifying
a = 0