42-(2x+6)=2(x+8)+x

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Solution for 42-(2x+6)=2(x+8)+x equation: 


Simplifying
42 + -1(2x + 6) = 2(x + 8) + x

Reorder the terms:
42 + -1(6 + 2x) = 2(x + 8) + x
42 + (6 * -1 + 2x * -1) = 2(x + 8) + x
42 + (-6 + -2x) = 2(x + 8) + x

Combine like terms: 42 + -6 = 36
36 + -2x = 2(x + 8) + x

Reorder the terms:
36 + -2x = 2(8 + x) + x
36 + -2x = (8 * 2 + x * 2) + x
36 + -2x = (16 + 2x) + x

Combine like terms: 2x + x = 3x
36 + -2x = 16 + 3x

Solving
36 + -2x = 16 + 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.
36 + -2x + -3x = 16 + 3x + -3x

Combine like terms: -2x + -3x = -5x
36 + -5x = 16 + 3x + -3x

Combine like terms: 3x + -3x = 0
36 + -5x = 16 + 0
36 + -5x = 16

Add '-36' to each side of the equation.
36 + -36 + -5x = 16 + -36

Combine like terms: 36 + -36 = 0
0 + -5x = 16 + -36
-5x = 16 + -36

Combine like terms: 16 + -36 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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