simplifying
1.25x = 0.75x + 50
Reorder the terms:
1.25x = 50 + 0.75x
Solving
1.25x = 50 + 0.75x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-0.75x' to each side of the equation.
1.25x + -0.75x = 50 + 0.75x + -0.75x
Combine like terms: 1.25x + -0.75x = 0.5x
0.5x = 50 + 0.75x + -0.75x
Combine like terms: 0.75x + -0.75x = 0.00
0.5x = 50 + 0.00
0.5x = 50
Divide each side by '0.5'.
x = 100
Simplifying
x = 100