0.3x+0.55(95-x)=0.45(95)

Solution for 0.3x+0.55(95-x)=0.45(95) equation:

Simplifying
0.3x + 0.55(95 + -1x) = 0.45(95)
0.3x + (95 * 0.55 + -1x * 0.55) = 0.45(95)
0.3x + (52.25 + -0.55x) = 0.45(95)

Reorder the terms:
52.25 + 0.3x + -0.55x = 0.45(95)

Combine like terms: 0.3x + -0.55x = -0.25x
52.25 + -0.25x = 0.45(95)

Multiply 0.45 * 95
52.25 + -0.25x = 42.75

Solving
52.25 + -0.25x = 42.75

Solving for variable 'x'.

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

Add '-52.25' to each side of the equation.
52.25 + -52.25 + -0.25x = 42.75 + -52.25

Combine like terms: 52.25 + -52.25 = 0.00
0.00 + -0.25x = 42.75 + -52.25
-0.25x = 42.75 + -52.25

Combine like terms: 42.75 + -52.25 = -9.5
-0.25x = -9.5

Divide each side by '-0.25'.
x = 38

Simplifying
x = 38