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# Solve the equation $\frac{x-1}{x+1}=6$

## Step-by-step Solution

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###  Videos

$x=-\frac{7}{5}$
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##  Step-by-step Solution 

Problem to solve:

$\frac{x-1}{x+1}=6$

Specify the solving method

1

Multiply both sides of the equation by $x+1$

$x-1=6\left(x+1\right)$

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

$x-1=6\left(x+1\right)$

Learn how to solve rational equations problems step by step online. Solve the equation (x-1)/(x+1)=6. Multiply both sides of the equation by x+1. Solve the product 6\left(x+1\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. Add the values 6 and 1.

$x=-\frac{7}{5}$

##  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

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0
a
b
c
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f
g
m
n
u
v
w
x
y
z
.
(◻)
+
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×
◻/◻
/
÷
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

### Main topic:

Rational equations

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