Solve z-6/8=z-3/5

$$\frac { z - 6 } { 8 } = \frac { z - 3 } { 5 }$$

Solve for z

$$z=-2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 40, the least common multiple of 8,5.

$$5\left(z-6\right)=8\left(z-3\right)$$

Use the distributive property to multiply 5 by z-6.

$$5z-30=8\left(z-3\right)$$

Use the distributive property to multiply 8 by z-3.

$$5z-30=8z-24$$

Subtract 8z from both sides.

$$5z-30-8z=-24$$

Combine 5z and -8z to get -3z.

$$-3z-30=-24$$

Add 30 to both sides.

$$-3z=-24+30$$

Add -24 and 30 to get 6.

$$-3z=6$$

Divide both sides by -3.

$$z=\frac{6}{-3}$$

Divide 6 by -3 to get -2.

$$z=-2$$