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

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


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

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

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

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

Solving
4 + 3x = 1 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
4 + 3x + x = 1 + -1x + x

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

Combine like terms: -1x + x = 0
4 + 4x = 1 + 0
4 + 4x = 1

Add '-4' to each side of the equation.
4 + -4 + 4x = 1 + -4

Combine like terms: 4 + -4 = 0
0 + 4x = 1 + -4
4x = 1 + -4

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

Divide each side by '4'.
x = -0.75

Simplifying
x = -0.75

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