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

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


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

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

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

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

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

Solving
-1 + 2x = 1 + 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.
-1 + 2x + -1x = 1 + x + -1x

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

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

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

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

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

Divide each side by '1'.
x = 2

Simplifying
x = 2

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