Question

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

Answer 1

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

Answer 2

16x-112

Answer 3

so then we have:
\[16x-112+13=4x-27\]

Answer 4

now we do have like terms on the left hand side

Answer 5

-112+13=?

Answer 6

-99

Answer 7

that is what I have too...
\[16x-99=4x-27\]

Answer 8

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

Answer 9

-4x?

Answer 10

right subtract 4x on both sides

Answer 11

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

Answer 12

you mean +99 on both side sright?

Answer 13

haha yea

Answer 14

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

Answer 15

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

Answer 16

combine like terms

Answer 17

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

Answer 18

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

Answer 19

so divide both sides by?

Answer 20

12

Answer 21

\[12x=72 \\ \frac{12x}{12}=\frac{72}{12} \\ \frac{12}{12}x=\frac{72}{12} \\ 1 x=\frac{72}{12} \text{ since } \frac{12}{12}=1 \\ x=\frac{72}{12} \text{ since } 1x=x\]

Answer 22

thanks so much

Answer 23

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

Answer 24

np