What value of z will solve the equation: 12 + 12z + 7 = 62 − 6z?

Question

What value of z will solve the equation: 

12 + 12z + 7 = 62 − 6z? 

Answer 1

This problem can be solved by combining like terms and using inverse operations.

First, add 12 and 7:

19 + 12z = 62- 6z

Then use inverse operations to solve for z:

Add 6z to both sides of the equation:

19 + 12z + 6z = 62 -6z + 6z

Then 19 + 18z = 62

Subtract 19 from both sides of the equation:

19 + 18z -19 = 62 - 19

Then 18z = 43

Divide both sides by 18:

18z/18 = 43/18

z= 43/18 or 2.389