Solve (20)(.449)(x-5.7)=(150)(4.184)(75-x)

$$( 20 ) ( .449 ) ( x - 5.7 ) = ( 150 ) ( 4.184 ) ( 75 - x )$$

Solve for x

$$x = \frac{3365799}{45470} = 74\frac{1019}{45470} \approx 74.02241038$$

Steps for Solving Linear Equation

Multiply 20 and 0.449 to get 8.98.

$$8.98\left(x-5.7\right)=150\times 4.184\left(75-x\right)$$

Use the distributive property to multiply 8.98 by x-5.7.

$$8.98x-51.186=150\times 4.184\left(75-x\right)$$

Multiply 150 and 4.184 to get 627.6.

$$8.98x-51.186=627.6\left(75-x\right)$$

Use the distributive property to multiply 627.6 by 75-x.

$$8.98x-51.186=47070-627.6x$$

Add 627.6x to both sides.

$$8.98x-51.186+627.6x=47070$$

Combine 8.98x and 627.6x to get 636.58x.

$$636.58x-51.186=47070$$

Add 51.186 to both sides.

$$636.58x=47070+51.186$$

Add 47070 and 51.186 to get 47121.186.

$$636.58x=47121.186$$

Divide both sides by 636.58.

$$x=\frac{47121.186}{636.58}$$

Expand \frac{47121.186}{636.58} by multiplying both numerator and the denominator by 1000.

$$x=\frac{47121186}{636580}$$

Reduce the fraction \frac{47121186}{636580} to lowest terms by extracting and canceling out 14.

$$x=\frac{3365799}{45470}$$