Question

8-(x-15)=6x+3(x+1)
Solve for X.

Answer 1

How far did you get in this problem before getting stuck?

Answer 2

i ave no idea how to do it , its on my Eoc Study guide

Answer 3

have*

Answer 4

Do you know how to distribute and collect like terms?

examples:

Distribute the four to both the x and negative three because they are in parenthesis
4(x - 3) = 4x - 4*3
= 4x - 12

Collect like terms (x is the 'term')
3x + 2x = 5x
7x - 12x = -4x
2x + 7x - 1x = 8x

etc

Answer 5

You'll have to distribute and collect like terms on both sides of the equation before doing anything else.

Answer 6

there are no like terms though?dstibuted as in Distibutive property like multiplying?

Answer 7

Let's focus on the left and right side of the equal sign first:

8-(x-15)=6x+3(x+1)

left side

8-(x-15)
this is actually
8-1(x-15) (so you have to distribute the -1)

Answer 8

8-1x +15?

Answer 9

8-(x-15)
is equal to
8-1x +15

Now what about the +8 and the +15 ? You can add them...

Answer 10

23-1x?

Answer 11

Yes.
So that is the LEFT side of the equation.

23 - x

now the RIGHT side of the equal sign...

6x+3(x+1)

Do you see where you can distribute here?

Answer 12

is it 9x+3?

Answer 13

9x+3

Exactly! :)

Now set those two equal to each other...

23 - x = 9x+3

Answer 14

so then what ?

Answer 15

combine like terms?

Answer 16

The trick now is to "get the variable on one side of the equal sign and the constants on the other side".

In this case you should add x to both sides.

Answer 17

23=10x+3, -3 to both sides then divide by 10, the answer is 2? am i correct?

Answer 18

O.o