Solve 300s+100.50x=250.75x

$$300 s + 100.50 x = 250.75 x$$

Solve for s

$$s=\frac{601x}{1200}$$

Steps for Solving Linear Equation

Subtract 100.5x from both sides.

$$300s=250.75x-100.5x$$

Combine 250.75x and -100.5x to get 150.25x.

$$300s=150.25x$$

The equation is in standard form.

$$300s=\frac{601x}{4}$$

Divide both sides by 300.

$$\frac{300s}{300}=\frac{601x}{4\times 300}$$

Dividing by 300 undoes the multiplication by 300.

$$s=\frac{601x}{4\times 300}$$

Divide \frac{601x}{4} by 300.

$$s=\frac{601x}{1200}$$

Solve for x

$$x=\frac{1200s}{601}$$

Steps for Solving Linear Equation

Subtract 250.75x from both sides.

$$300s+100.5x-250.75x=0$$

Combine 100.5x and -250.75x to get -150.25x.

$$300s-150.25x=0$$

Subtract 300s from both sides. Anything subtracted from zero gives its negation.

$$-150.25x=-300s$$

Divide both sides of the equation by -150.25, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-150.25x}{-150.25}=-\frac{300s}{-150.25}$$

Dividing by -150.25 undoes the multiplication by -150.25.

$$x=-\frac{300s}{-150.25}$$

Divide -300s by -150.25 by multiplying -300s by the reciprocal of -150.25.

$$x=\frac{1200s}{601}$$