Solve 22*670left(x-91right)=100*4184left(900-xright)

$$22 \times 670 \left( x-91 \right) = 100 \cdot 4184 \left( 900-x \right)$$

Solve for x

$$x = \frac{18895067}{21657} = 872\frac{10163}{21657} \approx 872.469270905$$

Steps for Solving Linear Equation

Multiply 22 and 670 to get 14740.

$$14740\left(x-91\right)=100\times 4184\left(900-x\right)$$

Use the distributive property to multiply 14740 by x-91.

$$14740x-1341340=100\times 4184\left(900-x\right)$$

Multiply 100 and 4184 to get 418400.

$$14740x-1341340=418400\left(900-x\right)$$

Use the distributive property to multiply 418400 by 900-x.

$$14740x-1341340=376560000-418400x$$

Add 418400x to both sides.

$$14740x-1341340+418400x=376560000$$

Combine 14740x and 418400x to get 433140x.

$$433140x-1341340=376560000$$

Add 1341340 to both sides.

$$433140x=376560000+1341340$$

Add 376560000 and 1341340 to get 377901340.

$$433140x=377901340$$

Divide both sides by 433140.

$$x=\frac{377901340}{433140}$$

Reduce the fraction \frac{377901340}{433140} to lowest terms by extracting and canceling out 20.

$$x=\frac{18895067}{21657}$$