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

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


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

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

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

Remove parenthesis around (-6 + 4x)
4 + 4x = -6 + 4x + (2x + -2)

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

Remove parenthesis around (-2 + 2x)
4 + 4x = -6 + 4x + -2 + 2x

Reorder the terms:
4 + 4x = -6 + -2 + 4x + 2x

Combine like terms: -6 + -2 = -8
4 + 4x = -8 + 4x + 2x

Combine like terms: 4x + 2x = 6x
4 + 4x = -8 + 6x

Solving
4 + 4x = -8 + 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.
4 + 4x + -6x = -8 + 6x + -6x

Combine like terms: 4x + -6x = -2x
4 + -2x = -8 + 6x + -6x

Combine like terms: 6x + -6x = 0
4 + -2x = -8 + 0
4 + -2x = -8

Add '-4' to each side of the equation.
4 + -4 + -2x = -8 + -4

Combine like terms: 4 + -4 = 0
0 + -2x = -8 + -4
-2x = -8 + -4

Combine like terms: -8 + -4 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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