36=x-2((x-2)+(x+4))

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Solution for 36=x-2((x-2)+(x+4)) equation:


Simplifying
36 = x + -2((x + -2) + (x + 4))

Reorder the terms:
36 = x + -2((-2 + x) + (x + 4))

Remove parenthesis around (-2 + x)
36 = x + -2(-2 + x + (x + 4))

Reorder the terms:
36 = x + -2(-2 + x + (4 + x))

Remove parenthesis around (4 + x)
36 = x + -2(-2 + x + 4 + x)

Reorder the terms:
36 = x + -2(-2 + 4 + x + x)

Combine like terms: -2 + 4 = 2
36 = x + -2(2 + x + x)

Combine like terms: x + x = 2x
36 = x + -2(2 + 2x)
36 = x + (2 * -2 + 2x * -2)
36 = x + (-4 + -4x)

Reorder the terms:
36 = -4 + x + -4x

Combine like terms: x + -4x = -3x
36 = -4 + -3x

Solving
36 = -4 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
36 + 3x = -4 + -3x + 3x

Combine like terms: -3x + 3x = 0
36 + 3x = -4 + 0
36 + 3x = -4

Add '-36' to each side of the equation.
36 + -36 + 3x = -4 + -36

Combine like terms: 36 + -36 = 0
0 + 3x = -4 + -36
3x = -4 + -36

Combine like terms: -4 + -36 = -40
3x = -40

Divide each side by '3'.
x = -13.33333333

Simplifying
x = -13.33333333

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