Question

Solve algebraically for x: 3(x+1) - 5x = 12 - (6x-7)

Answer 1

so distribute the 3 into those parenthesis...and also distribute the '-' into those parenthesis

Answer 2

Okay

Answer 3

and what do you get from that?

Answer 4

3x +1

Answer 5

I mean 3x + 3

Answer 6

There you go.....right...

3x + 3 - 5x = 12 - (6x - 7)

we can simplify the left hand side for now

3x - 5x is?

Answer 7

-2x

Answer 8

alright...so altogether we have

-2x + 3 = 12 - (6x - 7)

now on to the right hand side

after distributing the '-' into the parenthesis what do you have?

Answer 9

Ohhhh I see what I did I didn't distribute the right hand side thanks!

Answer 10

no problem!

Answer 11

what do you get for your final 'x'...?

Answer 12

-4?

Answer 13

'-' 4 ?

hmm...lets do it out

-2x + 3 = 12 - 6x + 7

-2x + 3 = 19 - 6x
+6x +6x

4x + 3 = 19
-3 -3

4x = 16
---------
4 4

x = 4