-2(a-3)=a+2

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

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

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

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

Solving
6 + -2a = 2 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
6 + -2a + -1a = 2 + a + -1a

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

Combine like terms: a + -1a = 0
6 + -3a = 2 + 0
6 + -3a = 2

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

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

Combine like terms: 2 + -6 = -4
-3a = -4

Divide each side by '-3'.
a = 1.333333333

Simplifying
a = 1.333333333