34.2k views
1 vote
5(z+6) − 10=10z How do I do this qustion??

User Mitchellt
by
8.0k points

2 Answers

3 votes
The answer is z=4

5(z+6)-10=10z

First, distribute the 5 through the parentheses

5z+30-10=10z

Subtract

5z+20=10z

Move the variable

5z-10z =-20

Combine like terms

-5z=-20

Divide

z=4
User Dalal
by
8.7k points
1 vote

Answer: z=4

Explanation:

5(z+6) - 10 = 10z

The first step is to distribute the 5 to the inside of the parenthesis. So,

5*z = 5z , 5*6 = 30 .

Now the equation has become 5z+30-10=10z. Next, the like terms can be reduced. So,

30-10= 20

The equation is: 5z+20=10z, 5z will be subtracted on both sides, canceling one side out.

5z-5z=0 , 10z-5z=5z

: 20=5z

The last step is to isolate the variable by dividing 5 on both sides.

5/5 = 0 , 20/5 = 4

Therefore, z=4

User Ferrouswheel
by
7.5k points