0.80x+.05(8-x)=.10(-86)

Solution for 0.80x+.05(8-x)=.10(-86) equation:

Simplifying
0.80x + 0.05(8 + -1x) = 0.10(-86)
0.80x + (8 * 0.05 + -1x * 0.05) = 0.10(-86)
0.80x + (0.4 + -0.05x) = 0.10(-86)

Reorder the terms:
0.4 + 0.80x + -0.05x = 0.10(-86)

Combine like terms: 0.80x + -0.05x = 0.75x
0.4 + 0.75x = 0.10(-86)

Multiply 0.10 * -86
0.4 + 0.75x = -8.6

Solving
0.4 + 0.75x = -8.6

Solving for variable 'x'.

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

Add '-0.4' to each side of the equation.
0.4 + -0.4 + 0.75x = -8.6 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 0.75x = -8.6 + -0.4
0.75x = -8.6 + -0.4

Combine like terms: -8.6 + -0.4 = -9
0.75x = -9

Divide each side by '0.75'.
x = -12

Simplifying
x = -12