👉 Try now NerdPal! Our new math app on iOS and Android

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

Go!
Math mode
Text mode
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

false

##  Step-by-step Solution 

Problem to solve:

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

Specify the solving method

1

Factor the polynomial $2x-8$ by it's GCF: $2$

$\frac{x-4}{2\left(x-4\right)}=5$

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

$\frac{x-4}{2\left(x-4\right)}=5$

Learn how to solve rational equations problems step by step online. Solve the equation (x-4)/(2x-8)=5. Factor the polynomial 2x-8 by it's GCF: 2. Simplify the fraction \frac{x-4}{2\left(x-4\right)} by x-4. Divide 1 by 2. \frac{1}{2} is not equal to 5.

false

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Solve for xFind the rootsSolve by factoringSolve by completing the squareSolve by quadratic formulaFind break even points

### Main topic:

Rational equations

~ 0.04 s

###  Join 500k+ students in problem solving.

##### Without automatic renewal.
Create an Account