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

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


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

Reorder the terms:
-2 + 2x + -3x = x + -6

Combine like terms: 2x + -3x = -1x
-2 + -1x = x + -6

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

Solving
-2 + -1x = -6 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-2 + -1x + -1x = -6 + x + -1x

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

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

Add '2' to each side of the equation.
-2 + 2 + -2x = -6 + 2

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

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

Divide each side by '-2'.
x = 2

Simplifying
x = 2

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