(16-x)+(8x-10)+(3x+12)=180

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Solution for (16-x)+(8x-10)+(3x+12)=180 equation:


Simplifying
(16 + -1x) + (8x + -10) + (3x + 12) = 180

Remove parenthesis around (16 + -1x)
16 + -1x + (8x + -10) + (3x + 12) = 180

Reorder the terms:
16 + -1x + (-10 + 8x) + (3x + 12) = 180

Remove parenthesis around (-10 + 8x)
16 + -1x + -10 + 8x + (3x + 12) = 180

Reorder the terms:
16 + -1x + -10 + 8x + (12 + 3x) = 180

Remove parenthesis around (12 + 3x)
16 + -1x + -10 + 8x + 12 + 3x = 180

Reorder the terms:
16 + -10 + 12 + -1x + 8x + 3x = 180

Combine like terms: 16 + -10 = 6
6 + 12 + -1x + 8x + 3x = 180

Combine like terms: 6 + 12 = 18
18 + -1x + 8x + 3x = 180

Combine like terms: -1x + 8x = 7x
18 + 7x + 3x = 180

Combine like terms: 7x + 3x = 10x
18 + 10x = 180

Solving
18 + 10x = 180

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + 10x = 180 + -18

Combine like terms: 18 + -18 = 0
0 + 10x = 180 + -18
10x = 180 + -18

Combine like terms: 180 + -18 = 162
10x = 162

Divide each side by '10'.
x = 16.2

Simplifying
x = 16.2

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