37.50-0.5x=42.75-0.75x

Solution for 37.50-0.5x=42.75-0.75x equation:

Simplifying
37.50 + -0.5x = 42.75 + -0.75x

Solving
37.50 + -0.5x = 42.75 + -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.
37.50 + -0.5x + 0.75x = 42.75 + -0.75x + 0.75x

Combine like terms: -0.5x + 0.75x = 0.25x
37.50 + 0.25x = 42.75 + -0.75x + 0.75x

Combine like terms: -0.75x + 0.75x = 0.00
37.50 + 0.25x = 42.75 + 0.00
37.50 + 0.25x = 42.75

Add '-37.50' to each side of the equation.
37.50 + -37.50 + 0.25x = 42.75 + -37.50

Combine like terms: 37.50 + -37.50 = 0.00
0.00 + 0.25x = 42.75 + -37.50
0.25x = 42.75 + -37.50

Combine like terms: 42.75 + -37.50 = 5.25
0.25x = 5.25

Divide each side by '0.25'.
x = 21

Simplifying
x = 21