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

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


Simplifying
-1[6x + -1(4x + 8)] = (6x + 3)

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

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

Combine like terms: 6x + -4x = 2x
-1[-8 + 2x] = (6x + 3)
[-8 * -1 + 2x * -1] = (6x + 3)
[8 + -2x] = (6x + 3)

Reorder the terms:
8 + -2x = (3 + 6x)

Remove parenthesis around (3 + 6x)
8 + -2x = 3 + 6x

Solving
8 + -2x = 3 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
8 + -2x + -6x = 3 + 6x + -6x

Combine like terms: -2x + -6x = -8x
8 + -8x = 3 + 6x + -6x

Combine like terms: 6x + -6x = 0
8 + -8x = 3 + 0
8 + -8x = 3

Add '-8' to each side of the equation.
8 + -8 + -8x = 3 + -8

Combine like terms: 8 + -8 = 0
0 + -8x = 3 + -8
-8x = 3 + -8

Combine like terms: 3 + -8 = -5
-8x = -5

Divide each side by '-8'.
x = 0.625

Simplifying
x = 0.625

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