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

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


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

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

Combine like terms: 1 + -1 = 0
0 + 2x + 2x = 2 + -1(-2x)
2x + 2x = 2 + -1(-2x)

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

Remove parenthesis around (-2x)
4x = 2 + -1 * -2x

Multiply -1 * -2
4x = 2 + 2x

Solving
4x = 2 + 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.
4x + -2x = 2 + 2x + -2x

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

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

Divide each side by '2'.
x = 1

Simplifying
x = 1

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