x-[2-(x-3)+(4-x)]+5+(x-6)-(7-x)=-2

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Solution for x-[2-(x-3)+(4-x)]+5+(x-6)-(7-x)=-2 equation:


Simplifying
x + -1[2 + -1(x + -3) + (4 + -1x)] + 5 + (x + -6) + -1(7 + -1x) = -2

Reorder the terms:
x + -1[2 + -1(-3 + x) + (4 + -1x)] + 5 + (x + -6) + -1(7 + -1x) = -2
x + -1[2 + (-3 * -1 + x * -1) + (4 + -1x)] + 5 + (x + -6) + -1(7 + -1x) = -2
x + -1[2 + (3 + -1x) + (4 + -1x)] + 5 + (x + -6) + -1(7 + -1x) = -2

Remove parenthesis around (4 + -1x)
x + -1[2 + 3 + -1x + 4 + -1x] + 5 + (x + -6) + -1(7 + -1x) = -2

Reorder the terms:
x + -1[2 + 3 + 4 + -1x + -1x] + 5 + (x + -6) + -1(7 + -1x) = -2

Combine like terms: 2 + 3 = 5
x + -1[5 + 4 + -1x + -1x] + 5 + (x + -6) + -1(7 + -1x) = -2

Combine like terms: 5 + 4 = 9
x + -1[9 + -1x + -1x] + 5 + (x + -6) + -1(7 + -1x) = -2

Combine like terms: -1x + -1x = -2x
x + -1[9 + -2x] + 5 + (x + -6) + -1(7 + -1x) = -2
x + [9 * -1 + -2x * -1] + 5 + (x + -6) + -1(7 + -1x) = -2
x + [-9 + 2x] + 5 + (x + -6) + -1(7 + -1x) = -2

Reorder the terms:
x + -9 + 2x + 5 + (-6 + x) + -1(7 + -1x) = -2

Remove parenthesis around (-6 + x)
x + -9 + 2x + 5 + -6 + x + -1(7 + -1x) = -2
x + -9 + 2x + 5 + -6 + x + (7 * -1 + -1x * -1) = -2
x + -9 + 2x + 5 + -6 + x + (-7 + 1x) = -2

Reorder the terms:
-9 + 5 + -6 + -7 + x + 2x + x + 1x = -2

Combine like terms: -9 + 5 = -4
-4 + -6 + -7 + x + 2x + x + 1x = -2

Combine like terms: -4 + -6 = -10
-10 + -7 + x + 2x + x + 1x = -2

Combine like terms: -10 + -7 = -17
-17 + x + 2x + x + 1x = -2

Combine like terms: x + 2x = 3x
-17 + 3x + x + 1x = -2

Combine like terms: 3x + x = 4x
-17 + 4x + 1x = -2

Combine like terms: 4x + 1x = 5x
-17 + 5x = -2

Solving
-17 + 5x = -2

Solving for variable 'x'.

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

Add '17' to each side of the equation.
-17 + 17 + 5x = -2 + 17

Combine like terms: -17 + 17 = 0
0 + 5x = -2 + 17
5x = -2 + 17

Combine like terms: -2 + 17 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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