2(x-8)+x=2(3-2x)+14

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Solution for 2(x-8)+x=2(3-2x)+14 equation: 


Simplifying
2(x + -8) + x = 2(3 + -2x) + 14

Reorder the terms:
2(-8 + x) + x = 2(3 + -2x) + 14
(-8 * 2 + x * 2) + x = 2(3 + -2x) + 14
(-16 + 2x) + x = 2(3 + -2x) + 14

Combine like terms: 2x + x = 3x
-16 + 3x = 2(3 + -2x) + 14
-16 + 3x = (3 * 2 + -2x * 2) + 14
-16 + 3x = (6 + -4x) + 14

Reorder the terms:
-16 + 3x = 6 + 14 + -4x

Combine like terms: 6 + 14 = 20
-16 + 3x = 20 + -4x

Solving
-16 + 3x = 20 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-16 + 3x + 4x = 20 + -4x + 4x

Combine like terms: 3x + 4x = 7x
-16 + 7x = 20 + -4x + 4x

Combine like terms: -4x + 4x = 0
-16 + 7x = 20 + 0
-16 + 7x = 20

Add '16' to each side of the equation.
-16 + 16 + 7x = 20 + 16

Combine like terms: -16 + 16 = 0
0 + 7x = 20 + 16
7x = 20 + 16

Combine like terms: 20 + 16 = 36
7x = 36

Divide each side by '7'.
x = 5.142857143

Simplifying
x = 5.142857143

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