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

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


Simplifying
2(8 + -1x) + 6 = -6(x + -3) + -6
(8 * 2 + -1x * 2) + 6 = -6(x + -3) + -6
(16 + -2x) + 6 = -6(x + -3) + -6

Reorder the terms:
16 + 6 + -2x = -6(x + -3) + -6

Combine like terms: 16 + 6 = 22
22 + -2x = -6(x + -3) + -6

Reorder the terms:
22 + -2x = -6(-3 + x) + -6
22 + -2x = (-3 * -6 + x * -6) + -6
22 + -2x = (18 + -6x) + -6

Reorder the terms:
22 + -2x = 18 + -6 + -6x

Combine like terms: 18 + -6 = 12
22 + -2x = 12 + -6x

Solving
22 + -2x = 12 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
22 + -2x + 6x = 12 + -6x + 6x

Combine like terms: -2x + 6x = 4x
22 + 4x = 12 + -6x + 6x

Combine like terms: -6x + 6x = 0
22 + 4x = 12 + 0
22 + 4x = 12

Add '-22' to each side of the equation.
22 + -22 + 4x = 12 + -22

Combine like terms: 22 + -22 = 0
0 + 4x = 12 + -22
4x = 12 + -22

Combine like terms: 12 + -22 = -10
4x = -10

Divide each side by '4'.
x = -2.5

Simplifying
x = -2.5

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