0.45x+0.5(2-x)=.10(-23)

Solution for 0.45x+0.5(2-x)=.10(-23) equation:

Simplifying
0.45x + 0.5(2 + -1x) = 0.10(-23)
0.45x + (2 * 0.5 + -1x * 0.5) = 0.10(-23)
0.45x + (1 + -0.5x) = 0.10(-23)

Reorder the terms:
1 + 0.45x + -0.5x = 0.10(-23)

Combine like terms: 0.45x + -0.5x = -0.05x
1 + -0.05x = 0.10(-23)

Multiply 0.10 * -23
1 + -0.05x = -2.3

Solving
1 + -0.05x = -2.3

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + -0.05x = -2.3 + -1

Combine like terms: 1 + -1 = 0
0 + -0.05x = -2.3 + -1
-0.05x = -2.3 + -1

Combine like terms: -2.3 + -1 = -3.3
-0.05x = -3.3

Divide each side by '-0.05'.
x = 66

Simplifying
x = 66