Solve 22*.670left(x-9.1right)=100*4.184left(90.0-xright)

$$22 \times .670 \left( x-9.1 \right) = 100 \cdot 4.184 \left( 90.0-x \right)$$

Solve for x

$$x = \frac{18895067}{216570} = 87\frac{53477}{216570} \approx 87.246927091$$

Steps for Solving Linear Equation

Multiply 22 and 0.67 to get 14.74.

$$14.74\left(x-9.1\right)=100\times 4.184\left(90-x\right)$$

Use the distributive property to multiply 14.74 by x-9.1.

$$14.74x-134.134=100\times 4.184\left(90-x\right)$$

Multiply 100 and 4.184 to get 418.4.

$$14.74x-134.134=418.4\left(90-x\right)$$

Use the distributive property to multiply 418.4 by 90-x.

$$14.74x-134.134=37656-418.4x$$

Add 418.4x to both sides.

$$14.74x-134.134+418.4x=37656$$

Combine 14.74x and 418.4x to get 433.14x.

$$433.14x-134.134=37656$$

Add 134.134 to both sides.

$$433.14x=37656+134.134$$

Add 37656 and 134.134 to get 37790.134.

$$433.14x=37790.134$$

Divide both sides by 433.14.

$$x=\frac{37790.134}{433.14}$$

Expand \frac{37790.134}{433.14} by multiplying both numerator and the denominator by 1000.

$$x=\frac{37790134}{433140}$$

Reduce the fraction \frac{37790134}{433140} to lowest terms by extracting and canceling out 2.

$$x=\frac{18895067}{216570}$$