.8x+.05(10-x)=.1(-100)

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Solution for .8x+.05(10-x)=.1(-100) equation: 


Simplifying
0.8x + 0.05(10 + -1x) = 0.1(-100)
0.8x + (10 * 0.05 + -1x * 0.05) = 0.1(-100)
0.8x + (0.5 + -0.05x) = 0.1(-100)

Reorder the terms:
0.5 + 0.8x + -0.05x = 0.1(-100)

Combine like terms: 0.8x + -0.05x = 0.75x
0.5 + 0.75x = 0.1(-100)

Multiply 0.1 * -100
0.5 + 0.75x = -10

Solving
0.5 + 0.75x = -10

Solving for variable 'x'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + 0.75x = -10 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 0.75x = -10 + -0.5
0.75x = -10 + -0.5

Combine like terms: -10 + -0.5 = -10.5
0.75x = -10.5

Divide each side by '0.75'.
x = -14

Simplifying
x = -14

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