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

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


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

Reorder the terms:
2(-8 + x) + x = 6(x + -2) + -8
(-8 * 2 + x * 2) + x = 6(x + -2) + -8
(-16 + 2x) + x = 6(x + -2) + -8

Combine like terms: 2x + x = 3x
-16 + 3x = 6(x + -2) + -8

Reorder the terms:
-16 + 3x = 6(-2 + x) + -8
-16 + 3x = (-2 * 6 + x * 6) + -8
-16 + 3x = (-12 + 6x) + -8

Reorder the terms:
-16 + 3x = -12 + -8 + 6x

Combine like terms: -12 + -8 = -20
-16 + 3x = -20 + 6x

Solving
-16 + 3x = -20 + 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.
-16 + 3x + -6x = -20 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-16 + -3x = -20 + 6x + -6x

Combine like terms: 6x + -6x = 0
-16 + -3x = -20 + 0
-16 + -3x = -20

Add '16' to each side of the equation.
-16 + 16 + -3x = -20 + 16

Combine like terms: -16 + 16 = 0
0 + -3x = -20 + 16
-3x = -20 + 16

Combine like terms: -20 + 16 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333

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