$\frac{2x+4}{5x}=\frac{2}{x}$

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Final answer to the problem

$x=3$
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Step-by-step Solution

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Factor the polynomial $2x+4$ by it's greatest common factor (GCF): $2$

$\frac{2\left(x+2\right)}{5x}=\frac{2}{x}$

Learn how to solve equazioni razionali problems step by step online.

$\frac{2\left(x+2\right)}{5x}=\frac{2}{x}$

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Learn how to solve equazioni razionali problems step by step online. (2x+4)/(5x)=2/x. Factor the polynomial 2x+4 by it's greatest common factor (GCF): 2. Apply the formula: \frac{a}{b}=\frac{c}{f}\to af=bc, where a=2\left(x+2\right), b=5x, c=2 and f=x. Apply the formula: mx=ny\to \frac{m}{mcd\left(m,n\right)}x=\frac{n}{mcd\left(m,n\right)}y, where x=\left(x+2\right)x, y=x, mx=ny=2\left(x+2\right)x=10x, mx=2\left(x+2\right)x, ny=10x, m=2 and n=10. Apply the formula: mx=nx\to m=n, where m=x+2 and n=5.

Final answer to the problem

$x=3$

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Function Plot

Plotting: $\frac{2x+4}{5x}+\frac{-2}{x}$

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5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

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