500x-0.15=300x+0.83

Solution for 500x-0.15=300x+0.83 equation:

Simplifying
500x + -0.15 = 300x + 0.83

Reorder the terms:
-0.15 + 500x = 300x + 0.83

Reorder the terms:
-0.15 + 500x = 0.83 + 300x

Solving
-0.15 + 500x = 0.83 + 300x

Solving for variable 'x'.

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

Add '-300x' to each side of the equation.
-0.15 + 500x + -300x = 0.83 + 300x + -300x

Combine like terms: 500x + -300x = 200x
-0.15 + 200x = 0.83 + 300x + -300x

Combine like terms: 300x + -300x = 0
-0.15 + 200x = 0.83 + 0
-0.15 + 200x = 0.83

Add '0.15' to each side of the equation.
-0.15 + 0.15 + 200x = 0.83 + 0.15

Combine like terms: -0.15 + 0.15 = 0.00
0.00 + 200x = 0.83 + 0.15
200x = 0.83 + 0.15

Combine like terms: 0.83 + 0.15 = 0.98
200x = 0.98

Divide each side by '200'.
x = 0.0049

Simplifying
x = 0.0049