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

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


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

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

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

Reorder the terms:
-2 + 3 + -1 + 2x + 3x + 1x = 0

Combine like terms: -2 + 3 = 1
1 + -1 + 2x + 3x + 1x = 0

Combine like terms: 1 + -1 = 0
0 + 2x + 3x + 1x = 0
2x + 3x + 1x = 0

Combine like terms: 2x + 3x = 5x
5x + 1x = 0

Combine like terms: 5x + 1x = 6x
6x = 0

Solving
6x = 0

Solving for variable 'x'.

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

Divide each side by '6'.
x = 0

Simplifying
x = 0

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