-3(a-2)=5(a+2)

Solution for -3(a-2)=5(a+2) equation:

Simplifying
-3(a + -2) = 5(a + 2)

Reorder the terms:
-3(-2 + a) = 5(a + 2)
(-2 * -3 + a * -3) = 5(a + 2)
(6 + -3a) = 5(a + 2)

Reorder the terms:
6 + -3a = 5(2 + a)
6 + -3a = (2 * 5 + a * 5)
6 + -3a = (10 + 5a)

Solving
6 + -3a = 10 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
6 + -3a + -5a = 10 + 5a + -5a

Combine like terms: -3a + -5a = -8a
6 + -8a = 10 + 5a + -5a

Combine like terms: 5a + -5a = 0
6 + -8a = 10 + 0
6 + -8a = 10

Add '-6' to each side of the equation.
6 + -6 + -8a = 10 + -6

Combine like terms: 6 + -6 = 0
0 + -8a = 10 + -6
-8a = 10 + -6

Combine like terms: 10 + -6 = 4
-8a = 4

Divide each side by '-8'.
a = -0.5

Simplifying
a = -0.5