Question

Solve: 6x − 10 + 14 = 22

Answer 1

You want to isolate 'x'....so first....add 10 to both sides...

6x + 14 = 32

now subtract 14 from both sides...

6x = 18

divide both sides by 6 to get x = ...?

Answer 2

3?

Answer 3

Correct.....now do you understand the steps I wrote above?

Answer 4

yes yes i think

Answer 5

Woohoo!

Answer 6

Well I'll go over it 1 more time just for good measure

6x - 10 + 14 = 22

You eventually want to solve for 'x'.....you do this by having x = ...something right?

well notice...'x' is all alone on that left side of the equation of what you want...so you want to do this to YOUR equation

6x - 10 + 14 = 22

you can get rid of the -10 on the left side...by adding 10 to it right? But remember what you do to 1 side...you do to the other...so you add 10 to both sides

6x - 10 + 10 + 14 = 22 + 10

6x + 14 = 32

now you do the same thing...but to cancel out +14...you subtract 14...and again..from both sides

6x + 14 - 14 = 32 - 14

6x = 18

and now you want to solve for 'x' not 6x....so you see that x is being multiplied by 6...so to cancel this out...you DIVIDE by 6...

because 6x / 6 = 1x...or just x right?

so

6x = 18
--------
6 6

x = 3

Better? :)

Answer 7

okay yas yas thank you
i can answer the rest of the answers

Answer 8

No problem!