(5x+20)+(7x+40)=180

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Solution for (5x+20)+(7x+40)=180 equation:


Simplifying
(5x + 20) + (7x + 40) = 180

Reorder the terms:
(20 + 5x) + (7x + 40) = 180

Remove parenthesis around (20 + 5x)
20 + 5x + (7x + 40) = 180

Reorder the terms:
20 + 5x + (40 + 7x) = 180

Remove parenthesis around (40 + 7x)
20 + 5x + 40 + 7x = 180

Reorder the terms:
20 + 40 + 5x + 7x = 180

Combine like terms: 20 + 40 = 60
60 + 5x + 7x = 180

Combine like terms: 5x + 7x = 12x
60 + 12x = 180

Solving
60 + 12x = 180

Solving for variable 'x'.

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

Add '-60' to each side of the equation.
60 + -60 + 12x = 180 + -60

Combine like terms: 60 + -60 = 0
0 + 12x = 180 + -60
12x = 180 + -60

Combine like terms: 180 + -60 = 120
12x = 120

Divide each side by '12'.
x = 10

Simplifying
x = 10

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