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

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


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

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

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

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

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

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

Solving
2 + 4x = 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 + 4x + -1x = 1 + 1x + -1x

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

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

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

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

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

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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