2(x-1)-3(2-x)+4(1-x)=0

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Solution for 2(x-1)-3(2-x)+4(1-x)=0 equation: 


Simplifying
2(x + -1) + -3(2 + -1x) + 4(1 + -1x) = 0

Reorder the terms:
2(-1 + x) + -3(2 + -1x) + 4(1 + -1x) = 0
(-1 * 2 + x * 2) + -3(2 + -1x) + 4(1 + -1x) = 0
(-2 + 2x) + -3(2 + -1x) + 4(1 + -1x) = 0
-2 + 2x + (2 * -3 + -1x * -3) + 4(1 + -1x) = 0
-2 + 2x + (-6 + 3x) + 4(1 + -1x) = 0
-2 + 2x + -6 + 3x + (1 * 4 + -1x * 4) = 0
-2 + 2x + -6 + 3x + (4 + -4x) = 0

Reorder the terms:
-2 + -6 + 4 + 2x + 3x + -4x = 0

Combine like terms: -2 + -6 = -8
-8 + 4 + 2x + 3x + -4x = 0

Combine like terms: -8 + 4 = -4
-4 + 2x + 3x + -4x = 0

Combine like terms: 2x + 3x = 5x
-4 + 5x + -4x = 0

Combine like terms: 5x + -4x = 1x
-4 + 1x = 0

Solving
-4 + 1x = 0

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 1x = 0 + 4
1x = 0 + 4

Combine like terms: 0 + 4 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4

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