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

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

Simplifying
3(a + -2) = -5a + -2(3 + -1a)

Reorder the terms:
3(-2 + a) = -5a + -2(3 + -1a)
(-2 * 3 + a * 3) = -5a + -2(3 + -1a)
(-6 + 3a) = -5a + -2(3 + -1a)
-6 + 3a = -5a + (3 * -2 + -1a * -2)
-6 + 3a = -5a + (-6 + 2a)

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

Combine like terms: -5a + 2a = -3a
-6 + 3a = -6 + -3a

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

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

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

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

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

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

Divide each side by '6'.
a = 0

Simplifying
a = 0