38-(2x+16)=2(x+6)+x

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Solution for 38-(2x+16)=2(x+6)+x equation: 


Simplifying
38 + -1(2x + 16) = 2(x + 6) + x

Reorder the terms:
38 + -1(16 + 2x) = 2(x + 6) + x
38 + (16 * -1 + 2x * -1) = 2(x + 6) + x
38 + (-16 + -2x) = 2(x + 6) + x

Combine like terms: 38 + -16 = 22
22 + -2x = 2(x + 6) + x

Reorder the terms:
22 + -2x = 2(6 + x) + x
22 + -2x = (6 * 2 + x * 2) + x
22 + -2x = (12 + 2x) + x

Combine like terms: 2x + x = 3x
22 + -2x = 12 + 3x

Solving
22 + -2x = 12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
22 + -2x + -3x = 12 + 3x + -3x

Combine like terms: -2x + -3x = -5x
22 + -5x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
22 + -5x = 12 + 0
22 + -5x = 12

Add '-22' to each side of the equation.
22 + -22 + -5x = 12 + -22

Combine like terms: 22 + -22 = 0
0 + -5x = 12 + -22
-5x = 12 + -22

Combine like terms: 12 + -22 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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