(5x-16)+(7x+28)=180

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Solution for (5x-16)+(7x+28)=180 equation:


Simplifying
(5x + -16) + (7x + 28) = 180

Reorder the terms:
(-16 + 5x) + (7x + 28) = 180

Remove parenthesis around (-16 + 5x)
-16 + 5x + (7x + 28) = 180

Reorder the terms:
-16 + 5x + (28 + 7x) = 180

Remove parenthesis around (28 + 7x)
-16 + 5x + 28 + 7x = 180

Reorder the terms:
-16 + 28 + 5x + 7x = 180

Combine like terms: -16 + 28 = 12
12 + 5x + 7x = 180

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

Solving
12 + 12x = 180

Solving for variable 'x'.

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

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

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

Combine like terms: 180 + -12 = 168
12x = 168

Divide each side by '12'.
x = 14

Simplifying
x = 14

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