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

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


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

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

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

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

Reorder the terms:
6 + -1x = -24 + x + 4x

Combine like terms: x + 4x = 5x
6 + -1x = -24 + 5x

Solving
6 + -1x = -24 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + -1x + -5x = -24 + 5x + -5x

Combine like terms: -1x + -5x = -6x
6 + -6x = -24 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + -6x = -24 + 0
6 + -6x = -24

Add '-6' to each side of the equation.
6 + -6 + -6x = -24 + -6

Combine like terms: 6 + -6 = 0
0 + -6x = -24 + -6
-6x = -24 + -6

Combine like terms: -24 + -6 = -30
-6x = -30

Divide each side by '-6'.
x = 5

Simplifying
x = 5

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