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

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

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

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

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

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

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

Remove parenthesis around (7a)
-6 + 7a = 8a + -1 * 7a

Multiply -1 * 7
-6 + 7a = 8a + -7a

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

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

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

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

Add '6' to each side of the equation.
-6 + 6 + 6a = 0 + 6

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

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

Divide each side by '6'.
a = 1

Simplifying
a = 1