31*(6-x)+33.17*x=200.85

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Solution for 31*(6-x)+33.17*x=200.85 equation:


Simplifying
31(6 + -1x) + 33.17x = 200.85
(6 * 31 + -1x * 31) + 33.17x = 200.85
(186 + -31x) + 33.17x = 200.85

Combine like terms: -31x + 33.17x = 2.17x
186 + 2.17x = 200.85

Solving
186 + 2.17x = 200.85

Solving for variable 'x'.

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

Add '-186' to each side of the equation.
186 + -186 + 2.17x = 200.85 + -186

Combine like terms: 186 + -186 = 0
0 + 2.17x = 200.85 + -186
2.17x = 200.85 + -186

Combine like terms: 200.85 + -186 = 14.85
2.17x = 14.85

Divide each side by '2.17'.
x = 6.843317972

Simplifying
x = 6.843317972

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