0.95x+0.05(20-x)=0.10(-116)

Solution for 0.95x+0.05(20-x)=0.10(-116) equation:

Simplifying
0.95x + 0.05(20 + -1x) = 0.10(-116)
0.95x + (20 * 0.05 + -1x * 0.05) = 0.10(-116)
0.95x + (1 + -0.05x) = 0.10(-116)

Reorder the terms:
1 + 0.95x + -0.05x = 0.10(-116)

Combine like terms: 0.95x + -0.05x = 0.9x
1 + 0.9x = 0.10(-116)

Multiply 0.10 * -116
1 + 0.9x = -11.6

Solving
1 + 0.9x = -11.6

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 0.9x = -11.6 + -1

Combine like terms: 1 + -1 = 0
0 + 0.9x = -11.6 + -1
0.9x = -11.6 + -1

Combine like terms: -11.6 + -1 = -12.6
0.9x = -12.6

Divide each side by '0.9'.
x = -14

Simplifying
x = -14