.55x+.5(16-x)=.10(-82)

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Solution for .55x+.5(16-x)=.10(-82) equation:


Simplifying
0.55x + 0.5(16 + -1x) = 0.10(-82)
0.55x + (16 * 0.5 + -1x * 0.5) = 0.10(-82)
0.55x + (8 + -0.5x) = 0.10(-82)

Reorder the terms:
8 + 0.55x + -0.5x = 0.10(-82)

Combine like terms: 0.55x + -0.5x = 0.05x
8 + 0.05x = 0.10(-82)

Multiply 0.10 * -82
8 + 0.05x = -8.2

Solving
8 + 0.05x = -8.2

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 0.05x = -8.2 + -8

Combine like terms: 8 + -8 = 0
0 + 0.05x = -8.2 + -8
0.05x = -8.2 + -8

Combine like terms: -8.2 + -8 = -16.2
0.05x = -16.2

Divide each side by '0.05'.
x = -324

Simplifying
x = -324

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