2x-[1-(x-2)]=3

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Solution for 2x-[1-(x-2)]=3 equation:


Simplifying
2x + -1[1 + -1(x + -2)] = 3

Reorder the terms:
2x + -1[1 + -1(-2 + x)] = 3
2x + -1[1 + (-2 * -1 + x * -1)] = 3
2x + -1[1 + (2 + -1x)] = 3

Combine like terms: 1 + 2 = 3
2x + -1[3 + -1x] = 3
2x + [3 * -1 + -1x * -1] = 3
2x + [-3 + 1x] = 3

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

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

Solving
-3 + 3x = 3

Solving for variable 'x'.

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

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

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

Combine like terms: 3 + 3 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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