# Math Help - Solve this equation PLEASE thanks

1. ## Solve this equation PLEASE thanks

4/3x-2=-2
i dont know how to put everything on one side. can someone please explain there answer thanks.

2. ## Re: Solve this equation PLEASE thanks

Add 2 to each side; what do you get?

3. ## Re: Solve this equation PLEASE thanks

Originally Posted by roger1505
4/3x-2=-2
i dont know how to put everything on one side. can someone please explain there answer thanks.
so, which equation did you mean?

$\frac{4}{3}x - 2 = -2$

$\frac{4}{3x-2} = -2$

or something else entirely?

4. ## Re: Solve this equation PLEASE thanks

the second one

5. ## Re: Solve this equation PLEASE thanks

Note that $\frac{4}{-2} = -2$, and we're given $\frac{4}{3x-2} = -2$. Therefore it follows that $3x-2 = -2 \Rightarrow 3x = 0 \Rightarrow x = 0$.

Alternatively, you can multiply both sides by 3x-2.

6. ## Re: Solve this equation PLEASE thanks

This solution can also be solved with another method such as e.g :-
x/4 - 3x/2 = -1/2
4(x/4 - 3x/2) = 4(-1/2)
x - 2(3x) = 2(-1)
x - 6x = -2
-5x = -2
x = -2/-5
x = 2/5 (0.4)

7. ## Re: Solve this equation PLEASE thanks

Originally Posted by kalwin
This solution can also be solved with another method such as e.g :-
x/4 - 3x/2 = -1/2
If you reciprocate both sides, you should get $\frac{3x}{4} - \frac{1}{2} = -\frac{1}{2}$ and obtain $x = 0$.

8. ## Re: Solve this equation PLEASE thanks

Originally Posted by richard1234
Note that $\frac{4}{-2} = -2$, and we're given $\frac{4}{3x-2} = -2$. Therefore it follows that $3x-2 = -2$
Why does it follow?

9. ## Re: Solve this equation PLEASE thanks

@emakarov, $\frac{4}{-2} = \frac{4}{3x-2}$. Since $f(x) = \frac{4}{x}$ is one-to-one (assuming $x \neq 0$), it follows that $-2 = 3x-2$ (by equating denominators).