-0.10(116)+0.95x=0.05(x-16)

Solution for -0.10(116)+0.95x=0.05(x-16) equation:

Simplifying
-0.10(116) + 0.95x = 0.05(x + -16)

Multiply -0.10 * 116
-11.6 + 0.95x = 0.05(x + -16)

Reorder the terms:
-11.6 + 0.95x = 0.05(-16 + x)
-11.6 + 0.95x = (-16 * 0.05 + x * 0.05)
-11.6 + 0.95x = (-0.8 + 0.05x)

Solving
-11.6 + 0.95x = -0.8 + 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.
-11.6 + 0.95x + -0.05x = -0.8 + 0.05x + -0.05x

Combine like terms: 0.95x + -0.05x = 0.9x
-11.6 + 0.9x = -0.8 + 0.05x + -0.05x

Combine like terms: 0.05x + -0.05x = 0.00
-11.6 + 0.9x = -0.8 + 0.00
-11.6 + 0.9x = -0.8

Add '11.6' to each side of the equation.
-11.6 + 11.6 + 0.9x = -0.8 + 11.6

Combine like terms: -11.6 + 11.6 = 0.0
0.0 + 0.9x = -0.8 + 11.6
0.9x = -0.8 + 11.6

Combine like terms: -0.8 + 11.6 = 10.8
0.9x = 10.8

Divide each side by '0.9'.
x = 12

Simplifying
x = 12