2(2-x-3)+x=4+-x+3x

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Solution for 2(2-x-3)+x=4+-x+3x equation: 


Simplifying
2(2 + -1x + -3) + x = 4 + -1x + 3x

Reorder the terms:
2(2 + -3 + -1x) + x = 4 + -1x + 3x

Combine like terms: 2 + -3 = -1
2(-1 + -1x) + x = 4 + -1x + 3x
(-1 * 2 + -1x * 2) + x = 4 + -1x + 3x
(-2 + -2x) + x = 4 + -1x + 3x

Combine like terms: -2x + x = -1x
-2 + -1x = 4 + -1x + 3x

Combine like terms: -1x + 3x = 2x
-2 + -1x = 4 + 2x

Solving
-2 + -1x = 4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-2 + -1x + -2x = 4 + 2x + -2x

Combine like terms: -1x + -2x = -3x
-2 + -3x = 4 + 2x + -2x

Combine like terms: 2x + -2x = 0
-2 + -3x = 4 + 0
-2 + -3x = 4

Add '2' to each side of the equation.
-2 + 2 + -3x = 4 + 2

Combine like terms: -2 + 2 = 0
0 + -3x = 4 + 2
-3x = 4 + 2

Combine like terms: 4 + 2 = 6
-3x = 6

Divide each side by '-3'.
x = -2

Simplifying
x = -2

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