2(x-2)-(x-4)+6=-(-3)-(-3+x)

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Solution for 2(x-2)-(x-4)+6=-(-3)-(-3+x) equation:


Simplifying
2(x + -2) + -1(x + -4) + 6 = -1(-3) + -1(-3 + x)

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

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

Reorder the terms:
-4 + 4 + 6 + 2x + -1x = -1(-3) + -1(-3 + x)

Combine like terms: -4 + 4 = 0
0 + 6 + 2x + -1x = -1(-3) + -1(-3 + x)
6 + 2x + -1x = -1(-3) + -1(-3 + x)

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

Multiply -1 * -3
6 + 1x = 3 + -1(-3 + x)
6 + 1x = 3 + (-3 * -1 + x * -1)
6 + 1x = 3 + (3 + -1x)

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

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

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

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

Solving
1x = -1x

Solving for variable 'x'.

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

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

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

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

Divide each side by '2'.
x = 0

Simplifying
x = 0

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