(40x-4)+(22-2x)+(6+x)=180

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Solution for (40x-4)+(22-2x)+(6+x)=180 equation: 


Simplifying
(40x + -4) + (22 + -2x) + (6 + x) = 180

Reorder the terms:
(-4 + 40x) + (22 + -2x) + (6 + x) = 180

Remove parenthesis around (-4 + 40x)
-4 + 40x + (22 + -2x) + (6 + x) = 180

Remove parenthesis around (22 + -2x)
-4 + 40x + 22 + -2x + (6 + x) = 180

Remove parenthesis around (6 + x)
-4 + 40x + 22 + -2x + 6 + x = 180

Reorder the terms:
-4 + 22 + 6 + 40x + -2x + x = 180

Combine like terms: -4 + 22 = 18
18 + 6 + 40x + -2x + x = 180

Combine like terms: 18 + 6 = 24
24 + 40x + -2x + x = 180

Combine like terms: 40x + -2x = 38x
24 + 38x + x = 180

Combine like terms: 38x + x = 39x
24 + 39x = 180

Solving
24 + 39x = 180

Solving for variable 'x'.

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

Add '-24' to each side of the equation.
24 + -24 + 39x = 180 + -24

Combine like terms: 24 + -24 = 0
0 + 39x = 180 + -24
39x = 180 + -24

Combine like terms: 180 + -24 = 156
39x = 156

Divide each side by '39'.
x = 4

Simplifying
x = 4

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