(4x)+(x+17)+(2x+23)=180

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Solution for (4x)+(x+17)+(2x+23)=180 equation:


Simplifying
(4x) + (x + 17) + (2x + 23) = 180

Reorder the terms:
(4x) + (17 + x) + (2x + 23) = 180

Remove parenthesis around (17 + x)
(4x) + 17 + x + (2x + 23) = 180

Reorder the terms:
(4x) + 17 + x + (23 + 2x) = 180

Remove parenthesis around (23 + 2x)
(4x) + 17 + x + 23 + 2x = 180

Reorder the terms:
17 + 23 + (4x) + x + 2x = 180

Combine like terms: 17 + 23 = 40
40 + (4x) + x + 2x = 180

Combine like terms: (4x) + x = 5x
40 + 5x + 2x = 180

Combine like terms: 5x + 2x = 7x
40 + 7x = 180

Solving
40 + 7x = 180

Solving for variable 'x'.

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

Add '-40' to each side of the equation.
40 + -40 + 7x = 180 + -40

Combine like terms: 40 + -40 = 0
0 + 7x = 180 + -40
7x = 180 + -40

Combine like terms: 180 + -40 = 140
7x = 140

Divide each side by '7'.
x = 20

Simplifying
x = 20

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