-0.10(115)+0.80x=0.05(x-20)

Solution for -0.10(115)+0.80x=0.05(x-20) equation:

Simplifying
-0.10(115) + 0.80x = 0.05(x + -20)

Multiply -0.10 * 115
-11.5 + 0.80x = 0.05(x + -20)

Reorder the terms:
-11.5 + 0.80x = 0.05(-20 + x)
-11.5 + 0.80x = (-20 * 0.05 + x * 0.05)
-11.5 + 0.80x = (-1 + 0.05x)

Solving
-11.5 + 0.80x = -1 + 0.05x

Solving for variable 'x'.

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

Add '-0.05x' to each side of the equation.
-11.5 + 0.80x + -0.05x = -1 + 0.05x + -0.05x

Combine like terms: 0.80x + -0.05x = 0.75x
-11.5 + 0.75x = -1 + 0.05x + -0.05x

Combine like terms: 0.05x + -0.05x = 0.00
-11.5 + 0.75x = -1 + 0.00
-11.5 + 0.75x = -1

Add '11.5' to each side of the equation.
-11.5 + 11.5 + 0.75x = -1 + 11.5

Combine like terms: -11.5 + 11.5 = 0.0
0.0 + 0.75x = -1 + 11.5
0.75x = -1 + 11.5

Combine like terms: -1 + 11.5 = 10.5
0.75x = 10.5

Divide each side by '0.75'.
x = 14

Simplifying
x = 14