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

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


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

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

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

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

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