Step-by-step Solution

Solve the equation $\frac{3x+1}{5x+7}=\frac{6x+11}{10x-3}$

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Final Answer

$x=-\frac{5}{6}$
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Step-by-step Solution

Problem to solve:

$\frac{3x+1}{5x+7}=\frac{6x+11}{10x-3}$

Choose the solving method

1

Apply fraction cross-multiplication

$\left(3x+1\right)\left(10x-3\right)=\left(5x+7\right)\left(6x+11\right)$

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

$\left(3x+1\right)\left(10x-3\right)=\left(5x+7\right)\left(6x+11\right)$

Unlock this full step-by-step solution!

Learn how to solve rational equations problems step by step online. Solve the equation (3x+1)/(5x+7)=(6x+11)/(10x-3). Apply fraction cross-multiplication. Multiplying polynomials 3x+1 and 10x-3. Multiply the single term 10x by each term of the polynomial \left(3x+1\right). Multiply the single term -3 by each term of the polynomial \left(3x+1\right).

Final Answer

$x=-\frac{5}{6}$
SnapXam A2
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1
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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

Tips on how to improve your answer:

$\frac{3x+1}{5x+7}=\frac{6x+11}{10x-3}$

Main topic:

Rational equations

Time to solve it:

~ 0.6 s