If $f(2x-3) = 4x-2$, then what is $f(x)$? I have this statement: 

If $f(2x-3) = 4x-2,$ the function $f(x)$ is ...?

My attempt was:
Move the function $3$ units to the left
$f(2x) = 4(x+3) -2 = 4x+10$
Divide $x$ by $2$
$f(x) = 2x+10$
Verifiy $f(x) = 2x+10 \to f(2x) = 4x+10 \to f(2x-3) = 4(x-3)+10 = \underbrace{4x-2}_{f(2x-3)}$
But according to the  guide the correct answer is $2x+4$ and i don't know why. Thans in advance.

If $y=2x-3$, what is $x$? We have $x = {1 \over 2} (y+3)$.
If $x = {1 \over 2} (y+3)$, what is $4x-2$? We have $4x-2=2y+4$.
This will give $f(y)$ in terms of $y$.
Explicitly, $f(y) = 2y+4$.
