Solve 18.8*x*(400-8)=75*4186*(8-5)

$$18.8 \cdot x \cdot ( 400 - 8 ) = 75 \cdot 4186 \cdot ( 8 - 5 )$$

Solve for x

$$x = \frac{336375}{2632} = 127\frac{2111}{2632} \approx 127.802051672$$

Steps for Solving Linear Equation

Subtract 8 from 400 to get 392.

$$18.8x\times 392=75\times 4186\left(8-5\right)$$

Multiply 18.8 and 392 to get 7369.6.

$$7369.6x=75\times 4186\left(8-5\right)$$

Multiply 75 and 4186 to get 313950.

$$7369.6x=313950\left(8-5\right)$$

Subtract 5 from 8 to get 3.

$$7369.6x=313950\times 3$$

Multiply 313950 and 3 to get 941850.

$$7369.6x=941850$$

Divide both sides by 7369.6.

$$x=\frac{941850}{7369.6}$$

Expand \frac{941850}{7369.6} by multiplying both numerator and the denominator by 10.

$$x=\frac{9418500}{73696}$$

Reduce the fraction \frac{9418500}{73696} to lowest terms by extracting and canceling out 28.

$$x=\frac{336375}{2632}$$