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

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


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

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

Remove parenthesis around (-1 + 2x)
-1 + 2x + -1(x + 1) = 1

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

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

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

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

Solving
-2 + 1x = 1

Solving for variable 'x'.

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

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 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3

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