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

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Solution for -7(x-2)+2=1(x-8) equation: 


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

Reorder the terms:
-7(-2 + x) + 2 = 1(x + -8)
(-2 * -7 + x * -7) + 2 = 1(x + -8)
(14 + -7x) + 2 = 1(x + -8)

Reorder the terms:
14 + 2 + -7x = 1(x + -8)

Combine like terms: 14 + 2 = 16
16 + -7x = 1(x + -8)

Reorder the terms:
16 + -7x = 1(-8 + x)
16 + -7x = (-8 * 1 + x * 1)
16 + -7x = (-8 + 1x)

Solving
16 + -7x = -8 + 1x

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.
16 + -7x + -1x = -8 + 1x + -1x

Combine like terms: -7x + -1x = -8x
16 + -8x = -8 + 1x + -1x

Combine like terms: 1x + -1x = 0
16 + -8x = -8 + 0
16 + -8x = -8

Add '-16' to each side of the equation.
16 + -16 + -8x = -8 + -16

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

Combine like terms: -8 + -16 = -24
-8x = -24

Divide each side by '-8'.
x = 3

Simplifying
x = 3

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