4a+3(a-2)=8-(6+a)

Solution for 4a+3(a-2)=8-(6+a) equation:

Simplifying
4a + 3(a + -2) = 8 + -1(6 + a)

Reorder the terms:
4a + 3(-2 + a) = 8 + -1(6 + a)
4a + (-2 * 3 + a * 3) = 8 + -1(6 + a)
4a + (-6 + 3a) = 8 + -1(6 + a)

Reorder the terms:
-6 + 4a + 3a = 8 + -1(6 + a)

Combine like terms: 4a + 3a = 7a
-6 + 7a = 8 + -1(6 + a)
-6 + 7a = 8 + (6 * -1 + a * -1)
-6 + 7a = 8 + (-6 + -1a)

Combine like terms: 8 + -6 = 2
-6 + 7a = 2 + -1a

Solving
-6 + 7a = 2 + -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
-6 + 7a + a = 2 + -1a + a

Combine like terms: 7a + a = 8a
-6 + 8a = 2 + -1a + a

Combine like terms: -1a + a = 0
-6 + 8a = 2 + 0
-6 + 8a = 2

Add '6' to each side of the equation.
-6 + 6 + 8a = 2 + 6

Combine like terms: -6 + 6 = 0
0 + 8a = 2 + 6
8a = 2 + 6

Combine like terms: 2 + 6 = 8
8a = 8

Divide each side by '8'.
a = 1

Simplifying
a = 1