x-2+6-8x=-(7x-7)-(3+x)

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Solution for x-2+6-8x=-(7x-7)-(3+x) equation:


Simplifying
x + -2 + 6 + -8x = -1(7x + -7) + -1(3 + x)

Reorder the terms:
-2 + 6 + x + -8x = -1(7x + -7) + -1(3 + x)

Combine like terms: -2 + 6 = 4
4 + x + -8x = -1(7x + -7) + -1(3 + x)

Combine like terms: x + -8x = -7x
4 + -7x = -1(7x + -7) + -1(3 + x)

Reorder the terms:
4 + -7x = -1(-7 + 7x) + -1(3 + x)
4 + -7x = (-7 * -1 + 7x * -1) + -1(3 + x)
4 + -7x = (7 + -7x) + -1(3 + x)
4 + -7x = 7 + -7x + (3 * -1 + x * -1)
4 + -7x = 7 + -7x + (-3 + -1x)

Reorder the terms:
4 + -7x = 7 + -3 + -7x + -1x

Combine like terms: 7 + -3 = 4
4 + -7x = 4 + -7x + -1x

Combine like terms: -7x + -1x = -8x
4 + -7x = 4 + -8x

Add '-4' to each side of the equation.
4 + -4 + -7x = 4 + -4 + -8x

Combine like terms: 4 + -4 = 0
0 + -7x = 4 + -4 + -8x
-7x = 4 + -4 + -8x

Combine like terms: 4 + -4 = 0
-7x = 0 + -8x
-7x = -8x

Solving
-7x = -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-7x + 8x = -8x + 8x

Combine like terms: -7x + 8x = 1x
1x = -8x + 8x

Combine like terms: -8x + 8x = 0
1x = 0

Divide each side by '1'.
x = 0

Simplifying
x = 0

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