Solve 9(19-c)=4(2)-c)

$$9 ( 19 - c ) = 4 ( 2 ) - c )$$

Solve for c

$$c = \frac{163}{8} = 20\frac{3}{8} = 20.375$$

Steps for Solving Linear Equation

Use the distributive property to multiply 9 by 19-c.

$$171-9c=4\times 2-c$$

Multiply 4 and 2 to get 8.

$$171-9c=8-c$$

Add c to both sides.

$$171-9c+c=8$$

Combine -9c and c to get -8c.

$$171-8c=8$$

Subtract 171 from both sides.

$$-8c=8-171$$

Subtract 171 from 8 to get -163.

$$-8c=-163$$

Divide both sides by -8.

$$c=\frac{-163}{-8}$$

Fraction \frac{-163}{-8} can be simplified to \frac{163}{8} by removing the negative sign from both the numerator and the denominator.

$$c=\frac{163}{8}$$