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# Solve the rational equation $\frac{7x}{x-2}+7=2x-2$

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##  Final Answer

$x=1,\:x=9$
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##  Step-by-step Solution 

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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

$\frac{7x}{x-2}-2x=-2-7$

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

$\frac{7x}{x-2}-2x=-2-7$

Learn how to solve rational equations problems step by step online. Solve the rational equation (7x)/(x-2)+7=2x-2. 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 -2 and -7. We need to isolate the dependent variable x, we can do that by simultaneously subtracting -2x from both sides of the equation. Canceling terms on both sides.

##  Final Answer

$x=1,\:x=9$

##  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 formula (general formula)Find break even pointsFind the discriminant

SnapXam A2

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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

### Main Topic: Rational Equations

Rational or fractional equations are those equations that contain algebraic fractions, and where the variable or unknown appears in the denominator of at least one of those fractions.

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