0.9x+0.05(12-x)=0.10(-113)

Solution for 0.9x+0.05(12-x)=0.10(-113) equation:

Simplifying
0.9x + 0.05(12 + -1x) = 0.10(-113)
0.9x + (12 * 0.05 + -1x * 0.05) = 0.10(-113)
0.9x + (0.6 + -0.05x) = 0.10(-113)

Reorder the terms:
0.6 + 0.9x + -0.05x = 0.10(-113)

Combine like terms: 0.9x + -0.05x = 0.85x
0.6 + 0.85x = 0.10(-113)

Multiply 0.10 * -113
0.6 + 0.85x = -11.3

Solving
0.6 + 0.85x = -11.3

Solving for variable 'x'.

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

Add '-0.6' to each side of the equation.
0.6 + -0.6 + 0.85x = -11.3 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 0.85x = -11.3 + -0.6
0.85x = -11.3 + -0.6

Combine like terms: -11.3 + -0.6 = -11.9
0.85x = -11.9

Divide each side by '0.85'.
x = -14

Simplifying
x = -14