Solve 94.1(50+x)=15.09(300+x)

$$94.1 ( 50 + x ) = 15.09 ( 300 + x )$$

Solve for x

$$x = -\frac{17800}{7901} = -2\frac{1998}{7901} \approx -2.252879382$$

Steps for Solving Linear Equation

Use the distributive property to multiply 94.1 by 50+x.

$$4705+94.1x=15.09\left(300+x\right)$$

Use the distributive property to multiply 15.09 by 300+x.

$$4705+94.1x=4527+15.09x$$

Subtract 15.09x from both sides.

$$4705+94.1x-15.09x=4527$$

Combine 94.1x and -15.09x to get 79.01x.

$$4705+79.01x=4527$$

Subtract 4705 from both sides.

$$79.01x=4527-4705$$

Subtract 4705 from 4527 to get -178.

$$79.01x=-178$$

Divide both sides by 79.01.

$$x=\frac{-178}{79.01}$$

Expand \frac{-178}{79.01} by multiplying both numerator and the denominator by 100.

$$x=\frac{-17800}{7901}$$

Fraction \frac{-17800}{7901} can be rewritten as -\frac{17800}{7901} by extracting the negative sign.

$$x=-\frac{17800}{7901}$$