0.55x+0.05(14-x)=0.10(-83)

Solution for 0.55x+0.05(14-x)=0.10(-83) equation:

Simplifying
0.55x + 0.05(14 + -1x) = 0.10(-83)
0.55x + (14 * 0.05 + -1x * 0.05) = 0.10(-83)
0.55x + (0.7 + -0.05x) = 0.10(-83)

Reorder the terms:
0.7 + 0.55x + -0.05x = 0.10(-83)

Combine like terms: 0.55x + -0.05x = 0.5x
0.7 + 0.5x = 0.10(-83)

Multiply 0.10 * -83
0.7 + 0.5x = -8.3

Solving
0.7 + 0.5x = -8.3

Solving for variable 'x'.

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

Add '-0.7' to each side of the equation.
0.7 + -0.7 + 0.5x = -8.3 + -0.7

Combine like terms: 0.7 + -0.7 = 0.0
0.0 + 0.5x = -8.3 + -0.7
0.5x = -8.3 + -0.7

Combine like terms: -8.3 + -0.7 = -9
0.5x = -9

Divide each side by '0.5'.
x = -18

Simplifying
x = -18