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Solve the equation $\frac{x-4}{2x-8}=5$

Step-by-step Solution

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Final Answer

$x=4$
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Step-by-step Solution

Problem to solve:

$\frac{x-4}{2x-8}=5$

Specify the solving method

1

Multiply both sides of the equation by $2x-8$

$x-4=5\left(2x-8\right)$

Learn how to solve rational equations problems step by step online.

$x-4=5\left(2x-8\right)$

Unlock the first 2 steps of this solution!

Learn how to solve rational equations problems step by step online. Solve the equation (x-4)/(2x-8)=5. Multiply both sides of the equation by 2x-8. Solve the product 5\left(2x-8\right). Group the terms of the equation by moving the terms that have the variable x to the left side, and those that do not have it to the right side. Subtract the values 4 and -40.

Final Answer

$x=4$
SnapXam A2
Answer Assistant

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Got another answer? Verify it!

Go!
1
2
3
4
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

Useful tips on how to improve your answer:

$\frac{x-4}{2x-8}=5$

Main topic:

Rational equations

Time to solve it:

~ 0.06 s