Solve 0.60(z-300)+0.05z=0.70z-205

$$0.60 ( z - 300 ) + 0.05 z = 0.70 z - 205$$

Solve for z

$$z=500$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.6 by z-300.

$$0.6z-180+0.05z=0.7z-205$$

Combine 0.6z and 0.05z to get 0.65z.

$$0.65z-180=0.7z-205$$

Subtract 0.7z from both sides.

$$0.65z-180-0.7z=-205$$

Combine 0.65z and -0.7z to get -0.05z.

$$-0.05z-180=-205$$

Add 180 to both sides.

$$-0.05z=-205+180$$

Add -205 and 180 to get -25.

$$-0.05z=-25$$

Divide both sides by -0.05.

$$z=\frac{-25}{-0.05}$$

Expand \frac{-25}{-0.05} by multiplying both numerator and the denominator by 100.

$$z=\frac{-2500}{-5}$$

Divide -2500 by -5 to get 500.

$$z=500$$