Solve 941(50+x)=1509(300+x)

$$941 ( 50 + x ) = 1509 ( 300 + x )$$

Solve for x

$$x = -\frac{202825}{284} = -714\frac{49}{284} \approx -714.172535211$$

Steps for Solving Linear Equation

Use the distributive property to multiply 941 by 50+x.

$$47050+941x=1509\left(300+x\right)$$

Use the distributive property to multiply 1509 by 300+x.

$$47050+941x=452700+1509x$$

Subtract 1509x from both sides.

$$47050+941x-1509x=452700$$

Combine 941x and -1509x to get -568x.

$$47050-568x=452700$$

Subtract 47050 from both sides.

$$-568x=452700-47050$$

Subtract 47050 from 452700 to get 405650.

$$-568x=405650$$

Divide both sides by -568.

$$x=\frac{405650}{-568}$$

Reduce the fraction \frac{405650}{-568} to lowest terms by extracting and canceling out 2.

$$x=-\frac{202825}{284}$$