Solve 0.5+0.75(100-x)=0.60(100)

$$0.5+0.75(100-x)=0.60(100)$$

Solve for x

$$x = \frac{62}{3} = 20\frac{2}{3} \approx 20.666666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.75 by 100-x.

$$0.5+75-0.75x=0.6\times 100$$

Add 0.5 and 75 to get 75.5.

$$75.5-0.75x=0.6\times 100$$

Multiply 0.6 and 100 to get 60.

$$75.5-0.75x=60$$

Subtract 75.5 from both sides.

$$-0.75x=60-75.5$$

Subtract 75.5 from 60 to get -15.5.

$$-0.75x=-15.5$$

Divide both sides by -0.75.

$$x=\frac{-15.5}{-0.75}$$

Expand \frac{-15.5}{-0.75} by multiplying both numerator and the denominator by 100.

$$x=\frac{-1550}{-75}$$

Reduce the fraction \frac{-1550}{-75} to lowest terms by extracting and canceling out -25.

$$x=\frac{62}{3}$$