Solve 6650=100(6+x)-0.5x

$$6650 = 100 ( 6 + x ) - 0.5 x$$

Solve for x

$$x = \frac{12100}{199} = 60\frac{160}{199} \approx 60.804020101$$

Steps for Solving Linear Equation

Use the distributive property to multiply 100 by 6+x.

$$6650=600+100x-0.5x$$

Combine 100x and -0.5x to get 99.5x.

$$6650=600+99.5x$$

Swap sides so that all variable terms are on the left hand side.

$$600+99.5x=6650$$

Subtract 600 from both sides.

$$99.5x=6650-600$$

Subtract 600 from 6650 to get 6050.

$$99.5x=6050$$

Divide both sides by 99.5.

$$x=\frac{6050}{99.5}$$

Expand \frac{6050}{99.5} by multiplying both numerator and the denominator by 10.

$$x=\frac{60500}{995}$$

Reduce the fraction \frac{60500}{995} to lowest terms by extracting and canceling out 5.

$$x=\frac{12100}{199}$$