.55x+.05(12-x)=.10(-34)

Solution for .55x+.05(12-x)=.10(-34) equation:

Simplifying
0.55x + 0.05(12 + -1x) = 0.10(-34)
0.55x + (12 * 0.05 + -1x * 0.05) = 0.10(-34)
0.55x + (0.6 + -0.05x) = 0.10(-34)

Reorder the terms:
0.6 + 0.55x + -0.05x = 0.10(-34)

Combine like terms: 0.55x + -0.05x = 0.5x
0.6 + 0.5x = 0.10(-34)

Multiply 0.10 * -34
0.6 + 0.5x = -3.4

Solving
0.6 + 0.5x = -3.4

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 + 0.5x = -3.4 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 0.5x = -3.4 + -0.6
0.5x = -3.4 + -0.6

Combine like terms: -3.4 + -0.6 = -4
0.5x = -4

Divide each side by '0.5'.
x = -8

Simplifying
x = -8