## anonymous one year ago 8(2x – 14) + 13 = 4x – 27 i know x=6 but i need a step by step way how to get it

1. freckles

I would distribute where possible 8(2x-14)=? recall a(b+c)=a*b+a*c

2. anonymous

16x-112

3. freckles

so then we have: $16x-112+13=4x-27$

4. freckles

now we do have like terms on the left hand side

5. freckles

-112+13=?

6. anonymous

-99

7. freckles

that is what I have too... $16x-99=4x-27$

8. freckles

now we need to get the terms with x on one side and the terms without x on the opposing side

9. anonymous

-4x?

10. freckles

right subtract 4x on both sides

11. freckles

16x-4x-99=4x-4x-27 this will make x go away on one side since 4x-4x=0 12x-99=-27

12. freckles

you mean +99 on both side sright?

13. anonymous

haha yea

14. freckles

$12x-99+99=-27+99$ yes this would isolate the 12x on the left hand side since -99+99=0 $12x=-27+99$

15. freckles

so we do have like terms on the right hand side -27+99=?

16. anonymous

combine like terms

17. freckles

-27+99=72 so we have: $12x=72 \text{ since } 99-27=72$ last step is to...

18. freckles

we want to isolate the x but x is being multiplied by 12

19. freckles

so divide both sides by?

20. anonymous

12

21. freckles

$12x=72 \\ \frac{12x}{12}=\frac{72}{12} \\ \frac{12}{12}x=\frac{72}{12} \\ 1 x=\frac{72}{12} \text{ since } \frac{12}{12}=1 \\ x=\frac{72}{12} \text{ since } 1x=x$

22. anonymous

thanks so much

23. freckles

you just have to reduce 72/12 and you are done (aka divide)

24. freckles

np