2x-[3+(x-5)]=6

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Solution for 2x-[3+(x-5)]=6 equation:


Simplifying
2x + -1[3 + (x + -5)] = 6

Reorder the terms:
2x + -1[3 + (-5 + x)] = 6

Remove parenthesis around (-5 + x)
2x + -1[3 + -5 + x] = 6

Combine like terms: 3 + -5 = -2
2x + -1[-2 + x] = 6
2x + [-2 * -1 + x * -1] = 6
2x + [2 + -1x] = 6

Reorder the terms:
2 + 2x + -1x = 6

Combine like terms: 2x + -1x = 1x
2 + 1x = 6

Solving
2 + 1x = 6

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 = 6 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = 6 + -2
1x = 6 + -2

Combine like terms: 6 + -2 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4

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