40-(3x+4)=2(x+6)+x

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Solution for 40-(3x+4)=2(x+6)+x equation: 


Simplifying
40 + -1(3x + 4) = 2(x + 6) + x

Reorder the terms:
40 + -1(4 + 3x) = 2(x + 6) + x
40 + (4 * -1 + 3x * -1) = 2(x + 6) + x
40 + (-4 + -3x) = 2(x + 6) + x

Combine like terms: 40 + -4 = 36
36 + -3x = 2(x + 6) + x

Reorder the terms:
36 + -3x = 2(6 + x) + x
36 + -3x = (6 * 2 + x * 2) + x
36 + -3x = (12 + 2x) + x

Combine like terms: 2x + x = 3x
36 + -3x = 12 + 3x

Solving
36 + -3x = 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.
36 + -3x + -3x = 12 + 3x + -3x

Combine like terms: -3x + -3x = -6x
36 + -6x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
36 + -6x = 12 + 0
36 + -6x = 12

Add '-36' to each side of the equation.
36 + -36 + -6x = 12 + -36

Combine like terms: 36 + -36 = 0
0 + -6x = 12 + -36
-6x = 12 + -36

Combine like terms: 12 + -36 = -24
-6x = -24

Divide each side by '-6'.
x = 4

Simplifying
x = 4

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