Solve 5c+165=13.5+10c

$$5 c + 165 = 13.5 + 10 c$$

Solve for c

$$c=30.3$$

Steps for Solving Linear Equation

Subtract 10c from both sides.

$$5c+165-10c=13.5$$

Combine 5c and -10c to get -5c.

$$-5c+165=13.5$$

Subtract 165 from both sides.

$$-5c=13.5-165$$

Subtract 165 from 13.5 to get -151.5.

$$-5c=-151.5$$

Divide both sides by -5.

$$c=\frac{-151.5}{-5}$$

Expand \frac{-151.5}{-5} by multiplying both numerator and the denominator by 10.

$$c=\frac{-1515}{-50}$$

Reduce the fraction \frac{-1515}{-50} to lowest terms by extracting and canceling out -5.

$$c=\frac{303}{10}$$