Solve (x-3)*60=(x-5)*125

$$( x - 3 ) \cdot 60 = ( x - 5 ) \cdot 125$$

Solve for x

$$x = \frac{89}{13} = 6\frac{11}{13} \approx 6.846153846$$

Steps for Solving Linear Equation

Use the distributive property to multiply x-3 by 60.

$$60x-180=\left(x-5\right)\times 125$$

Use the distributive property to multiply x-5 by 125.

$$60x-180=125x-625$$

Subtract 125x from both sides.

$$60x-180-125x=-625$$

Combine 60x and -125x to get -65x.

$$-65x-180=-625$$

Add 180 to both sides.

$$-65x=-625+180$$

Add -625 and 180 to get -445.

$$-65x=-445$$

Divide both sides by -65.

$$x=\frac{-445}{-65}$$

Reduce the fraction \frac{-445}{-65} to lowest terms by extracting and canceling out -5.

$$x=\frac{89}{13}$$