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

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Solution for 2(1-x)+x=3(2-x)+2 equation: 


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

Combine like terms: -2x + x = -1x
2 + -1x = 3(2 + -1x) + 2
2 + -1x = (2 * 3 + -1x * 3) + 2
2 + -1x = (6 + -3x) + 2

Reorder the terms:
2 + -1x = 6 + 2 + -3x

Combine like terms: 6 + 2 = 8
2 + -1x = 8 + -3x

Solving
2 + -1x = 8 + -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.
2 + -1x + 3x = 8 + -3x + 3x

Combine like terms: -1x + 3x = 2x
2 + 2x = 8 + -3x + 3x

Combine like terms: -3x + 3x = 0
2 + 2x = 8 + 0
2 + 2x = 8

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

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

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

Divide each side by '2'.
x = 3

Simplifying
x = 3

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