-2x-6=2-4x-(1-x)

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Solution for -2x-6=2-4x-(1-x) equation:


Simplifying
-2x + -6 = 2 + -4x + -1(1 + -1x)

Reorder the terms:
-6 + -2x = 2 + -4x + -1(1 + -1x)
-6 + -2x = 2 + -4x + (1 * -1 + -1x * -1)
-6 + -2x = 2 + -4x + (-1 + 1x)

Reorder the terms:
-6 + -2x = 2 + -1 + -4x + 1x

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

Combine like terms: -4x + 1x = -3x
-6 + -2x = 1 + -3x

Solving
-6 + -2x = 1 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-6 + -2x + 3x = 1 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
-6 + 1x = 1 + 0
-6 + 1x = 1

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

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

Combine like terms: 1 + 6 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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