0.80x+0.50(8-x)=.10(-101)

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Solution for 0.80x+0.50(8-x)=.10(-101) equation: 


Simplifying
0.80x + 0.50(8 + -1x) = 0.10(-101)
0.80x + (8 * 0.50 + -1x * 0.50) = 0.10(-101)
0.80x + (4 + -0.5x) = 0.10(-101)

Reorder the terms:
4 + 0.80x + -0.5x = 0.10(-101)

Combine like terms: 0.80x + -0.5x = 0.3x
4 + 0.3x = 0.10(-101)

Multiply 0.10 * -101
4 + 0.3x = -10.1

Solving
4 + 0.3x = -10.1

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 0.3x = -10.1 + -4

Combine like terms: 4 + -4 = 0
0 + 0.3x = -10.1 + -4
0.3x = -10.1 + -4

Combine like terms: -10.1 + -4 = -14.1
0.3x = -14.1

Divide each side by '0.3'.
x = -47

Simplifying
x = -47

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