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

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


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

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

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

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

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

Solving
2 = 1 + 1x

Solving for variable 'x'.

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

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

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

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

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

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

Divide each side by '-1'.
x = 1

Simplifying
x = 1

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