4a-(3a+6)=6a-8(2-5a)

Solution for 4a-(3a+6)=6a-8(2-5a) equation:

Simplifying
4a + -1(3a + 6) = 6a + -8(2 + -5a)

Reorder the terms:
4a + -1(6 + 3a) = 6a + -8(2 + -5a)
4a + (6 * -1 + 3a * -1) = 6a + -8(2 + -5a)
4a + (-6 + -3a) = 6a + -8(2 + -5a)

Reorder the terms:
-6 + 4a + -3a = 6a + -8(2 + -5a)

Combine like terms: 4a + -3a = 1a
-6 + 1a = 6a + -8(2 + -5a)
-6 + 1a = 6a + (2 * -8 + -5a * -8)
-6 + 1a = 6a + (-16 + 40a)

Reorder the terms:
-6 + 1a = -16 + 6a + 40a

Combine like terms: 6a + 40a = 46a
-6 + 1a = -16 + 46a

Solving
-6 + 1a = -16 + 46a

Solving for variable 'a'.

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

Add '-46a' to each side of the equation.
-6 + 1a + -46a = -16 + 46a + -46a

Combine like terms: 1a + -46a = -45a
-6 + -45a = -16 + 46a + -46a

Combine like terms: 46a + -46a = 0
-6 + -45a = -16 + 0
-6 + -45a = -16

Add '6' to each side of the equation.
-6 + 6 + -45a = -16 + 6

Combine like terms: -6 + 6 = 0
0 + -45a = -16 + 6
-45a = -16 + 6

Combine like terms: -16 + 6 = -10
-45a = -10

Divide each side by '-45'.
a = 0.2222222222

Simplifying
a = 0.2222222222