2/3x+4=2x. Solve for x. Someone please explain this to me, im doing something wrong.

Question

hero · Answer

Subtract (2x)/3 from both sides to get

$\large4 = 2x - \frac{2x}{3}$

Next multiply 2x by 3/3 to get:
$\large 4 = \frac{6x}{3} - \frac{2x}{3}$

Combine fractions on the right side to get

$\large 4 = \frac{6x - 2x}{3}$

Subtract like terms in the denominator to get:

$4 = \large \frac{4x}{3}$

Multiply both sides by 3 to get

$4 \dot\ 3 = 4x$
$12 = 4x$

Divide both sides by 4 to get:

$\large\frac{12}{4} = x$

Finish it!

anonymous · Answer

Okay, so its 3.. correct?

hero · Answer

That was easy, right?

anonymous · Answer

No.. Fractions confuse me alot!

hero · Answer

Well, just remember that
$\frac{2}{3} x = \frac{2x}{3}$

It's a little easier to work with when you put the x in the numerator.

anonymous · Answer

Alright thanks. (: