4x-2(x-1)=x-22

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Solution for 4x-2(x-1)=x-22 equation: 


Simplifying
4x + -2(x + -1) = x + -22

Reorder the terms:
4x + -2(-1 + x) = x + -22
4x + (-1 * -2 + x * -2) = x + -22
4x + (2 + -2x) = x + -22

Reorder the terms:
2 + 4x + -2x = x + -22

Combine like terms: 4x + -2x = 2x
2 + 2x = x + -22

Reorder the terms:
2 + 2x = -22 + x

Solving
2 + 2x = -22 + x

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 + 2x + -1x = -22 + x + -1x

Combine like terms: 2x + -1x = 1x
2 + 1x = -22 + x + -1x

Combine like terms: x + -1x = 0
2 + 1x = -22 + 0
2 + 1x = -22

Add '-2' to each side of the equation.
2 + -2 + 1x = -22 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = -22 + -2
1x = -22 + -2

Combine like terms: -22 + -2 = -24
1x = -24

Divide each side by '1'.
x = -24

Simplifying
x = -24

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