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

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


Simplifying
8a + -1[(5x + -3) + -1(4x + 2a) + -1(2a + 6x)] = 0

Reorder the terms:
8a + -1[(-3 + 5x) + -1(4x + 2a) + -1(2a + 6x)] = 0

Remove parenthesis around (-3 + 5x)
8a + -1[-3 + 5x + -1(4x + 2a) + -1(2a + 6x)] = 0

Reorder the terms:
8a + -1[-3 + 5x + -1(2a + 4x) + -1(2a + 6x)] = 0
8a + -1[-3 + 5x + (2a * -1 + 4x * -1) + -1(2a + 6x)] = 0
8a + -1[-3 + 5x + (-2a + -4x) + -1(2a + 6x)] = 0
8a + -1[-3 + 5x + -2a + -4x + (2a * -1 + 6x * -1)] = 0
8a + -1[-3 + 5x + -2a + -4x + (-2a + -6x)] = 0

Reorder the terms:
8a + -1[-3 + -2a + -2a + 5x + -4x + -6x] = 0

Combine like terms: -2a + -2a = -4a
8a + -1[-3 + -4a + 5x + -4x + -6x] = 0

Combine like terms: 5x + -4x = 1x
8a + -1[-3 + -4a + 1x + -6x] = 0

Combine like terms: 1x + -6x = -5x
8a + -1[-3 + -4a + -5x] = 0
8a + [-3 * -1 + -4a * -1 + -5x * -1] = 0
8a + [3 + 4a + 5x] = 0

Reorder the terms:
3 + 8a + 4a + 5x = 0

Combine like terms: 8a + 4a = 12a
3 + 12a + 5x = 0

Solving
3 + 12a + 5x = 0

Solving for variable 'a'.

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

Add '-3' to each side of the equation.
3 + 12a + -3 + 5x = 0 + -3

Reorder the terms:
3 + -3 + 12a + 5x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 12a + 5x = 0 + -3
12a + 5x = 0 + -3

Combine like terms: 0 + -3 = -3
12a + 5x = -3

Add '-5x' to each side of the equation.
12a + 5x + -5x = -3 + -5x

Combine like terms: 5x + -5x = 0
12a + 0 = -3 + -5x
12a = -3 + -5x

Divide each side by '12'.
a = -0.25 + -0.4166666667x

Simplifying
a = -0.25 + -0.4166666667x

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