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

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

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

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

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

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

Combine like terms: 6 + 8 = 14
-6 + 7a = 8a + -1(14)

Multiply -1 * 14
-6 + 7a = 8a + -14

Reorder the terms:
-6 + 7a = -14 + 8a

Solving
-6 + 7a = -14 + 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
-6 + 7a + -8a = -14 + 8a + -8a

Combine like terms: 7a + -8a = -1a
-6 + -1a = -14 + 8a + -8a

Combine like terms: 8a + -8a = 0
-6 + -1a = -14 + 0
-6 + -1a = -14

Add '6' to each side of the equation.
-6 + 6 + -1a = -14 + 6

Combine like terms: -6 + 6 = 0
0 + -1a = -14 + 6
-1a = -14 + 6

Combine like terms: -14 + 6 = -8
-1a = -8

Divide each side by '-1'.
a = 8

Simplifying
a = 8