Solve 3.2x+17left(100-xright)=3.5*100

$$3.2x+17 \left( 100-x \right) = 3.5 \cdot 100$$

Solve for x

$$x = \frac{2250}{23} = 97\frac{19}{23} \approx 97.826086957$$

Steps for Solving Linear Equation

Use the distributive property to multiply 17 by 100-x.

$$3.2x+1700-17x=3.5\times 100$$

Combine 3.2x and -17x to get -13.8x.

$$-13.8x+1700=3.5\times 100$$

Multiply 3.5 and 100 to get 350.

$$-13.8x+1700=350$$

Subtract 1700 from both sides.

$$-13.8x=350-1700$$

Subtract 1700 from 350 to get -1350.

$$-13.8x=-1350$$

Divide both sides by -13.8.

$$x=\frac{-1350}{-13.8}$$

Expand \frac{-1350}{-13.8} by multiplying both numerator and the denominator by 10.

$$x=\frac{-13500}{-138}$$

Reduce the fraction \frac{-13500}{-138} to lowest terms by extracting and canceling out -6.

$$x=\frac{2250}{23}$$