Solve 30*(75-x)=20*(x-25)

$$30 \times (75-x)=20 \times (x-25)$$

Solve for x

$$x=55$$

Steps for Solving Linear Equation

Use the distributive property to multiply 30 by 75-x.

$$2250-30x=20\left(x-25\right)$$

Use the distributive property to multiply 20 by x-25.

$$2250-30x=20x-500$$

Subtract 20x from both sides.

$$2250-30x-20x=-500$$

Combine -30x and -20x to get -50x.

$$2250-50x=-500$$

Subtract 2250 from both sides.

$$-50x=-500-2250$$

Subtract 2250 from -500 to get -2750.

$$-50x=-2750$$

Divide both sides by -50.

$$x=\frac{-2750}{-50}$$

Divide -2750 by -50 to get 55.

$$x=55$$