Solve z-5/5+z-4/2=4/5

$$\frac { z - 5 } { 5 } + \frac { z - 4 } { 2 } = \frac { 4 } { 5 }$$

Solve for z

$$z = \frac{38}{7} = 5\frac{3}{7} \approx 5.428571429$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 5,2.

$$2\left(z-5\right)+5\left(z-4\right)=8$$

Use the distributive property to multiply 2 by z-5.

$$2z-10+5\left(z-4\right)=8$$

Use the distributive property to multiply 5 by z-4.

$$2z-10+5z-20=8$$

Combine 2z and 5z to get 7z.

$$7z-10-20=8$$

Subtract 20 from -10 to get -30.

$$7z-30=8$$

Add 30 to both sides.

$$7z=8+30$$

Add 8 and 30 to get 38.

$$7z=38$$

Divide both sides by 7.

$$z=\frac{38}{7}$$