Question

Please help! I need to pass this. I don't understand it at all. :(

how many solutions does the equation have 3(4x-2)=2(6x-3)

A. one solution

B. no solution

C. infinite solutions

Answer 1

\[3(4x-2)=2(6x-3) \] lets solve it
multiply out, what do you get?

Answer 2

aka use the distributive property on the left and the right

Answer 3

if you are not sure how to do it, say so and i will show you

Answer 4

12? i'm not too sure, sorry!

Answer 5

you get a \(12\) all right
lets go slow

Answer 6

\[a(b+c)=a\times b+a\times c\] so
\[3(4x-2)=3\times 4x+3\times (-2)\] or more simply
\[3(4x-2)=12x-6\]

Answer 7

now we do the same thing on the other side of the equal sign

Answer 8

ohhh that makes sense.

Answer 9

what do you get when you do it on the right?
we are not done yet