0.75x+0.05(12-x)=0.10(-106)

Solution for 0.75x+0.05(12-x)=0.10(-106) equation:

Simplifying
0.75x + 0.05(12 + -1x) = 0.10(-106)
0.75x + (12 * 0.05 + -1x * 0.05) = 0.10(-106)
0.75x + (0.6 + -0.05x) = 0.10(-106)

Reorder the terms:
0.6 + 0.75x + -0.05x = 0.10(-106)

Combine like terms: 0.75x + -0.05x = 0.7x
0.6 + 0.7x = 0.10(-106)

Multiply 0.10 * -106
0.6 + 0.7x = -10.6

Solving
0.6 + 0.7x = -10.6

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 + 0.7x = -10.6 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 0.7x = -10.6 + -0.6
0.7x = -10.6 + -0.6

Combine like terms: -10.6 + -0.6 = -11.2
0.7x = -11.2

Divide each side by '0.7'.
x = -16

Simplifying
x = -16