x-2-(3+(7-2x))=-6

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Solution for x-2-(3+(7-2x))=-6 equation:


Simplifying
x + -2 + -1(3 + (7 + -2x)) = -6

Remove parenthesis around (7 + -2x)
x + -2 + -1(3 + 7 + -2x) = -6

Combine like terms: 3 + 7 = 10
x + -2 + -1(10 + -2x) = -6
x + -2 + (10 * -1 + -2x * -1) = -6
x + -2 + (-10 + 2x) = -6

Reorder the terms:
-2 + -10 + x + 2x = -6

Combine like terms: -2 + -10 = -12
-12 + x + 2x = -6

Combine like terms: x + 2x = 3x
-12 + 3x = -6

Solving
-12 + 3x = -6

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 3x = -6 + 12

Combine like terms: -12 + 12 = 0
0 + 3x = -6 + 12
3x = -6 + 12

Combine like terms: -6 + 12 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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