-4(a-2)+8=-2a+3(a-2)

Solution for -4(a-2)+8=-2a+3(a-2) equation:

Simplifying
-4(a + -2) + 8 = -2a + 3(a + -2)

Reorder the terms:
-4(-2 + a) + 8 = -2a + 3(a + -2)
(-2 * -4 + a * -4) + 8 = -2a + 3(a + -2)
(8 + -4a) + 8 = -2a + 3(a + -2)

Reorder the terms:
8 + 8 + -4a = -2a + 3(a + -2)

Combine like terms: 8 + 8 = 16
16 + -4a = -2a + 3(a + -2)

Reorder the terms:
16 + -4a = -2a + 3(-2 + a)
16 + -4a = -2a + (-2 * 3 + a * 3)
16 + -4a = -2a + (-6 + 3a)

Reorder the terms:
16 + -4a = -6 + -2a + 3a

Combine like terms: -2a + 3a = 1a
16 + -4a = -6 + 1a

Solving
16 + -4a = -6 + 1a

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.
16 + -4a + -1a = -6 + 1a + -1a

Combine like terms: -4a + -1a = -5a
16 + -5a = -6 + 1a + -1a

Combine like terms: 1a + -1a = 0
16 + -5a = -6 + 0
16 + -5a = -6

Add '-16' to each side of the equation.
16 + -16 + -5a = -6 + -16

Combine like terms: 16 + -16 = 0
0 + -5a = -6 + -16
-5a = -6 + -16

Combine like terms: -6 + -16 = -22
-5a = -22

Divide each side by '-5'.
a = 4.4

Simplifying
a = 4.4