(12x-9)+(62-3x)+(16x+2)=180

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Solution for (12x-9)+(62-3x)+(16x+2)=180 equation:


Simplifying
(12x + -9) + (62 + -3x) + (16x + 2) = 180

Reorder the terms:
(-9 + 12x) + (62 + -3x) + (16x + 2) = 180

Remove parenthesis around (-9 + 12x)
-9 + 12x + (62 + -3x) + (16x + 2) = 180

Remove parenthesis around (62 + -3x)
-9 + 12x + 62 + -3x + (16x + 2) = 180

Reorder the terms:
-9 + 12x + 62 + -3x + (2 + 16x) = 180

Remove parenthesis around (2 + 16x)
-9 + 12x + 62 + -3x + 2 + 16x = 180

Reorder the terms:
-9 + 62 + 2 + 12x + -3x + 16x = 180

Combine like terms: -9 + 62 = 53
53 + 2 + 12x + -3x + 16x = 180

Combine like terms: 53 + 2 = 55
55 + 12x + -3x + 16x = 180

Combine like terms: 12x + -3x = 9x
55 + 9x + 16x = 180

Combine like terms: 9x + 16x = 25x
55 + 25x = 180

Solving
55 + 25x = 180

Solving for variable 'x'.

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

Add '-55' to each side of the equation.
55 + -55 + 25x = 180 + -55

Combine like terms: 55 + -55 = 0
0 + 25x = 180 + -55
25x = 180 + -55

Combine like terms: 180 + -55 = 125
25x = 125

Divide each side by '25'.
x = 5

Simplifying
x = 5

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