2=5(x-1)+2-4x

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Solution for 2=5(x-1)+2-4x equation:


Simplifying
2 = 5(x + -1) + 2 + -4x

Reorder the terms:
2 = 5(-1 + x) + 2 + -4x
2 = (-1 * 5 + x * 5) + 2 + -4x
2 = (-5 + 5x) + 2 + -4x

Reorder the terms:
2 = -5 + 2 + 5x + -4x

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

Combine like terms: 5x + -4x = 1x
2 = -3 + 1x

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

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

Add '-2' to each side of the equation.
2 + -2 + -1x = -3 + -2

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

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

Divide each side by '-1'.
x = 5

Simplifying
x = 5

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