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

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


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

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

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

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

Reorder the terms for easier multiplication:
-16 + 3x = 3 * 2(-6 + x)

Multiply 3 * 2
-16 + 3x = 6(-6 + x)
-16 + 3x = (-6 * 6 + x * 6)
-16 + 3x = (-36 + 6x)

Solving
-16 + 3x = -36 + 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 = -36 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-16 + -3x = -36 + 6x + -6x

Combine like terms: 6x + -6x = 0
-16 + -3x = -36 + 0
-16 + -3x = -36

Add '16' to each side of the equation.
-16 + 16 + -3x = -36 + 16

Combine like terms: -16 + 16 = 0
0 + -3x = -36 + 16
-3x = -36 + 16

Combine like terms: -36 + 16 = -20
-3x = -20

Divide each side by '-3'.
x = 6.666666667

Simplifying
x = 6.666666667

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