41-(2x+4)=2(x+6)+x

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Solution for 41-(2x+4)=2(x+6)+x equation: 


Simplifying
41 + -1(2x + 4) = 2(x + 6) + x

Reorder the terms:
41 + -1(4 + 2x) = 2(x + 6) + x
41 + (4 * -1 + 2x * -1) = 2(x + 6) + x
41 + (-4 + -2x) = 2(x + 6) + x

Combine like terms: 41 + -4 = 37
37 + -2x = 2(x + 6) + x

Reorder the terms:
37 + -2x = 2(6 + x) + x
37 + -2x = (6 * 2 + x * 2) + x
37 + -2x = (12 + 2x) + x

Combine like terms: 2x + x = 3x
37 + -2x = 12 + 3x

Solving
37 + -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.
37 + -2x + -3x = 12 + 3x + -3x

Combine like terms: -2x + -3x = -5x
37 + -5x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
37 + -5x = 12 + 0
37 + -5x = 12

Add '-37' to each side of the equation.
37 + -37 + -5x = 12 + -37

Combine like terms: 37 + -37 = 0
0 + -5x = 12 + -37
-5x = 12 + -37

Combine like terms: 12 + -37 = -25
-5x = -25

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

Simplifying
x = 5

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