solve for x.
1/4x + 2/3 = x + 3/4
I have been trying to figure out how to do problems like these for over a week! So far, I have figured out pretty much only that I have to combine terms. Could I get some explanation on how to do this?

Question

solve for x.
1/4x + 2/3 = x + 3/4
I have been trying to figure out how to do problems like these for over a week! So far, I have figured out pretty much only that I have to combine terms. Could I get some explanation on how to do this?

saifoo.khan · Answer

Do you know solving it with LCDs?

saifoo.khan · Answer

$$\frac14 x + \frac23 = x + \frac34$$For left side, the LCD = 12$$\frac{x(3) + 2(4)}{12} = x + \frac34$$

anonymous · Answer

Yes, I know that for fractions I have to do this so that I can use them. The LCD I believe is 12. but I don't know much after that.

saifoo.khan · Answer

Ok,  so you get till here?

saifoo.khan · Answer

$$\frac{3x + 8}{12} = x + \frac34$$Now on right side, take LCD = 4.
$$\frac{3x + 8}{12} = \frac{x(4)  + 3}{4}$$

saifoo.khan · Answer

$$\frac{3x+8}{12} = \frac{4x + 3}{4}$$Now cross multiply,
$$4(3x+8) = 12(4x+3)$$Can you solve now?

anonymous · Answer

Let me try

saifoo.khan · Answer

Sure.

anonymous · Answer

I have to simplify the numbers in the parenthesis, right?

phi · Answer

Khan has videos that might help http://www.khanacademy.org/math/algebra/solving-linear-equations/v/multi-step-equations

phi · Answer

I would distribute (that means multiply 7 times each term inside the parens) 
and distribute the 12 (multiply 12 times each term in the parens.)