8(x+3.14)+3.14(112+x)=180

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Solution for 8(x+3.14)+3.14(112+x)=180 equation: 


Simplifying
8(x + 3.14) + 3.14(112 + x) = 180

Reorder the terms:
8(3.14 + x) + 3.14(112 + x) = 180
(3.14 * 8 + x * 8) + 3.14(112 + x) = 180
(25.12 + 8x) + 3.14(112 + x) = 180
25.12 + 8x + (112 * 3.14 + x * 3.14) = 180
25.12 + 8x + (351.68 + 3.14x) = 180

Reorder the terms:
25.12 + 351.68 + 8x + 3.14x = 180

Combine like terms: 25.12 + 351.68 = 376.8
376.8 + 8x + 3.14x = 180

Combine like terms: 8x + 3.14x = 11.14x
376.8 + 11.14x = 180

Solving
376.8 + 11.14x = 180

Solving for variable 'x'.

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

Add '-376.8' to each side of the equation.
376.8 + -376.8 + 11.14x = 180 + -376.8

Combine like terms: 376.8 + -376.8 = 0.0
0.0 + 11.14x = 180 + -376.8
11.14x = 180 + -376.8

Combine like terms: 180 + -376.8 = -196.8
11.14x = -196.8

Divide each side by '11.14'.
x = -17.66606822

Simplifying
x = -17.66606822

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