40+(x+40)+(3x+17)=180

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Solution for 40+(x+40)+(3x+17)=180 equation:


Simplifying
40 + (x + 40) + (3x + 17) = 180

Reorder the terms:
40 + (40 + x) + (3x + 17) = 180

Remove parenthesis around (40 + x)
40 + 40 + x + (3x + 17) = 180

Reorder the terms:
40 + 40 + x + (17 + 3x) = 180

Remove parenthesis around (17 + 3x)
40 + 40 + x + 17 + 3x = 180

Reorder the terms:
40 + 40 + 17 + x + 3x = 180

Combine like terms: 40 + 40 = 80
80 + 17 + x + 3x = 180

Combine like terms: 80 + 17 = 97
97 + x + 3x = 180

Combine like terms: x + 3x = 4x
97 + 4x = 180

Solving
97 + 4x = 180

Solving for variable 'x'.

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

Add '-97' to each side of the equation.
97 + -97 + 4x = 180 + -97

Combine like terms: 97 + -97 = 0
0 + 4x = 180 + -97
4x = 180 + -97

Combine like terms: 180 + -97 = 83
4x = 83

Divide each side by '4'.
x = 20.75

Simplifying
x = 20.75

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