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

Jul 7, 2018

Answer:

$z = \frac{38}{3}$

Explanation:

Expanding we get

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

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

$3 z = 38$
so $z = \frac{38}{3}$

Jul 7, 2018

Answer:

$z = \frac{38}{3}$

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

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

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

$- 3 z + 30 = 68 - 6 z$

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

$- 3 z = 38 - 6 z$

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

$3 z = 38$

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

$z = \frac{38}{3}$

Hope this helps!