Solve 6.25x+7.5-2.5=3.75x-8.75

$$6.25x+7.5-2.5=3.75x-8.75$$

Solve for x

$$x=-5.5$$

Steps for Solving Linear Equation

Subtract 2.5 from 7.5 to get 5.

$$6.25x+5=3.75x-8.75$$

Subtract 3.75x from both sides.

$$6.25x+5-3.75x=-8.75$$

Combine 6.25x and -3.75x to get 2.5x.

$$2.5x+5=-8.75$$

Subtract 5 from both sides.

$$2.5x=-8.75-5$$

Subtract 5 from -8.75 to get -13.75.

$$2.5x=-13.75$$

Divide both sides by 2.5.

$$x=\frac{-13.75}{2.5}$$

Expand \frac{-13.75}{2.5} by multiplying both numerator and the denominator by 100.

$$x=\frac{-1375}{250}$$

Reduce the fraction \frac{-1375}{250} to lowest terms by extracting and canceling out 125.

$$x=-\frac{11}{2}$$