How do you solve 5( z + 6) - 8z = 20+ 6( 8- z )?

2 Answers
Jul 7, 2018

z=38/3

Explanation:

Expanding we get

5z+30-8z=20+48-6z
combining like Terms

-3z+30=68-6z
adding 6z and subtracting 30
we obtain

3z=38
so z=38/3

Jul 7, 2018

z=38/3

Explanation:

Let's start by distributing the 5 to the parenthesis on the left, and the 6 to the parenthesis on the right. We get

5z+30-8z=20+48-6z

Let's combine the z terms we have on the left, and the constants we have on the right. We now have:

-3z+30=68-6z

Remember, we just want a z on the left side. We can next achieve this by subtracting 30 from both sides. We get

-3z=38-6z

Next, let's add 6z to both sides to get

3z=38

And our last step, dividing both sides by 3 to get

z=38/3

Hope this helps!