Question

2z+z=-2z-5+8z

Answer 1

3z=6z-5
z=5/3

Answer 2

2z+z=-2z-5+8z

Since 2z and z are like terms, add z to 2z to get 3z.
3z=-2z-5+8z

Since -2z and 8z are like terms, subtract 8z from -2z to get 6z.
3z=6z-5

Since 6z contains the variable to solve for, move it to the left-hand side of the equation by subtracting 6z from both sides.
3z-6z=-5

Since 3z and -6z are like terms, add -6z to 3z to get -3z.
-3z=-5

Divide each term in the equation by -3.
-(3z)/(-3)=-(5)/(-3)

Simplify the left-hand side of the equation by canceling the common factors.
z=-(5)/(-3)

Simplify the right-hand side of the equation by simplifying each term.
z=(5)/(3)

Answer 3

3z=6z-5
-3z=-5
z=5/3