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

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


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

Reorder the terms:
6 + -8x = -8(7 + -1x) + -2
6 + -8x = (7 * -8 + -1x * -8) + -2
6 + -8x = (-56 + 8x) + -2

Reorder the terms:
6 + -8x = -56 + -2 + 8x

Combine like terms: -56 + -2 = -58
6 + -8x = -58 + 8x

Solving
6 + -8x = -58 + 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.
6 + -8x + -8x = -58 + 8x + -8x

Combine like terms: -8x + -8x = -16x
6 + -16x = -58 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -16x = -58 + 0
6 + -16x = -58

Add '-6' to each side of the equation.
6 + -6 + -16x = -58 + -6

Combine like terms: 6 + -6 = 0
0 + -16x = -58 + -6
-16x = -58 + -6

Combine like terms: -58 + -6 = -64
-16x = -64

Divide each side by '-16'.
x = 4

Simplifying
x = 4

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