How do I solve for x

Question

2/3(9x-6)=4x+1

Answer 1

Hi Emma!

 

First distribute the 2/3, so the left side of the = sign becomes 6x - 4. (Because two thirds of 9x is 6x, and two thirds of 6 is 4.)

 

So now you have 6x - 4 = 4x + 1.

 

Combine terms to get 6x = 4x + 5.

 

Combine again to get 2x = 5.

 

Divide by 2 to get x = 2.5

 

Plug 2.5 back in to the equation, and both sidexz equal 11. Since the sides are equal, you know the solution works!

 

Hope this helps.

 

Matt

Answer 2

2/3(9x-6)=4x+1

First, multiply both sides by three, giving

2(9x-6)=3(4x+1)

Second, distribute, giving

18x-12 = 12x+3

Next, collect like terms, et cetera, giving

18x-12x = 3+12 ...do you see how we get that?

6x = 15.  The last step is yours.