Solve 15(5x-25)=24(x-4)

$$15(5x-25)=24(x-4)$$

Solve for x

$$x = \frac{93}{17} = 5\frac{8}{17} \approx 5.470588235$$

Steps for Solving Linear Equation

Use the distributive property to multiply 15 by 5x-25.

$$75x-375=24\left(x-4\right)$$

Use the distributive property to multiply 24 by x-4.

$$75x-375=24x-96$$

Subtract 24x from both sides.

$$75x-375-24x=-96$$

Combine 75x and -24x to get 51x.

$$51x-375=-96$$

Add 375 to both sides.

$$51x=-96+375$$

Add -96 and 375 to get 279.

$$51x=279$$

Divide both sides by 51.

$$x=\frac{279}{51}$$

Reduce the fraction \frac{279}{51} to lowest terms by extracting and canceling out 3.

$$x=\frac{93}{17}$$