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

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

Simplifying
8 + -1(2 + -3a) = 8(3 + -2a) + -1a
8 + (2 * -1 + -3a * -1) = 8(3 + -2a) + -1a
8 + (-2 + 3a) = 8(3 + -2a) + -1a

Combine like terms: 8 + -2 = 6
6 + 3a = 8(3 + -2a) + -1a
6 + 3a = (3 * 8 + -2a * 8) + -1a
6 + 3a = (24 + -16a) + -1a

Combine like terms: -16a + -1a = -17a
6 + 3a = 24 + -17a

Solving
6 + 3a = 24 + -17a

Solving for variable 'a'.

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

Add '17a' to each side of the equation.
6 + 3a + 17a = 24 + -17a + 17a

Combine like terms: 3a + 17a = 20a
6 + 20a = 24 + -17a + 17a

Combine like terms: -17a + 17a = 0
6 + 20a = 24 + 0
6 + 20a = 24

Add '-6' to each side of the equation.
6 + -6 + 20a = 24 + -6

Combine like terms: 6 + -6 = 0
0 + 20a = 24 + -6
20a = 24 + -6

Combine like terms: 24 + -6 = 18
20a = 18

Divide each side by '20'.
a = 0.9

Simplifying
a = 0.9