0.90x+0.05(2-x)=0.10(-16)

Solution for 0.90x+0.05(2-x)=0.10(-16) equation:

Simplifying
0.90x + 0.05(2 + -1x) = 0.10(-16)
0.90x + (2 * 0.05 + -1x * 0.05) = 0.10(-16)
0.90x + (0.1 + -0.05x) = 0.10(-16)

Reorder the terms:
0.1 + 0.90x + -0.05x = 0.10(-16)

Combine like terms: 0.90x + -0.05x = 0.85x
0.1 + 0.85x = 0.10(-16)

Multiply 0.10 * -16
0.1 + 0.85x = -1.6

Solving
0.1 + 0.85x = -1.6

Solving for variable 'x'.

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

Add '-0.1' to each side of the equation.
0.1 + -0.1 + 0.85x = -1.6 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + 0.85x = -1.6 + -0.1
0.85x = -1.6 + -0.1

Combine like terms: -1.6 + -0.1 = -1.7
0.85x = -1.7

Divide each side by '0.85'.
x = -2

Simplifying
x = -2