45.6-300x=200x-36.9

Solution for 45.6-300x=200x-36.9 equation:

Simplifying
45.6 + -300x = 200x + -36.9

Reorder the terms:
45.6 + -300x = -36.9 + 200x

Solving
45.6 + -300x = -36.9 + 200x

Solving for variable 'x'.

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

Add '-200x' to each side of the equation.
45.6 + -300x + -200x = -36.9 + 200x + -200x

Combine like terms: -300x + -200x = -500x
45.6 + -500x = -36.9 + 200x + -200x

Combine like terms: 200x + -200x = 0
45.6 + -500x = -36.9 + 0
45.6 + -500x = -36.9

Add '-45.6' to each side of the equation.
45.6 + -45.6 + -500x = -36.9 + -45.6

Combine like terms: 45.6 + -45.6 = 0.0
0.0 + -500x = -36.9 + -45.6
-500x = -36.9 + -45.6

Combine like terms: -36.9 + -45.6 = -82.5
-500x = -82.5

Divide each side by '-500'.
x = 0.165

Simplifying
x = 0.165