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

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


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

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

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

Reorder the terms:
-2 + 3x = -1 + 2x

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

Solving for variable 'x'.

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

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

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

Combine like terms: 2x + -2x = 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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