-(6x-(2x+5))=-6-(6(2x-4)-6x)

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Solution for -(6x-(2x+5))=-6-(6(2x-4)-6x) equation:


Simplifying
-1(6x + -1(2x + 5)) = -6 + -1(6(2x + -4) + -6x)

Reorder the terms:
-1(6x + -1(5 + 2x)) = -6 + -1(6(2x + -4) + -6x)
-1(6x + (5 * -1 + 2x * -1)) = -6 + -1(6(2x + -4) + -6x)
-1(6x + (-5 + -2x)) = -6 + -1(6(2x + -4) + -6x)

Reorder the terms:
-1(-5 + 6x + -2x) = -6 + -1(6(2x + -4) + -6x)

Combine like terms: 6x + -2x = 4x
-1(-5 + 4x) = -6 + -1(6(2x + -4) + -6x)
(-5 * -1 + 4x * -1) = -6 + -1(6(2x + -4) + -6x)
(5 + -4x) = -6 + -1(6(2x + -4) + -6x)

Reorder the terms:
5 + -4x = -6 + -1(6(-4 + 2x) + -6x)
5 + -4x = -6 + -1((-4 * 6 + 2x * 6) + -6x)
5 + -4x = -6 + -1((-24 + 12x) + -6x)

Combine like terms: 12x + -6x = 6x
5 + -4x = -6 + -1(-24 + 6x)
5 + -4x = -6 + (-24 * -1 + 6x * -1)
5 + -4x = -6 + (24 + -6x)

Combine like terms: -6 + 24 = 18
5 + -4x = 18 + -6x

Solving
5 + -4x = 18 + -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.
5 + -4x + 6x = 18 + -6x + 6x

Combine like terms: -4x + 6x = 2x
5 + 2x = 18 + -6x + 6x

Combine like terms: -6x + 6x = 0
5 + 2x = 18 + 0
5 + 2x = 18

Add '-5' to each side of the equation.
5 + -5 + 2x = 18 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 18 + -5
2x = 18 + -5

Combine like terms: 18 + -5 = 13
2x = 13

Divide each side by '2'.
x = 6.5

Simplifying
x = 6.5

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