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Solve the equation $\frac{x+6}{3}-x+6=\frac{x}{15}$

Step-by-step Solution

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Solution

Final answer to the problem

$x=\frac{120}{11}$
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Step-by-step Solution

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  • Solve for x
  • Find the derivative using the definition
  • Solve by quadratic formula (general formula)
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  • Find the derivative
  • Factor
  • Factor by completing the square
  • Find the roots
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1

Combine all terms into a single fraction with $3$ as common denominator

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$\frac{x+6-3x+18}{3}=\frac{x}{15}$

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Unlock the first 3 steps of this solution

Learn how to solve problems step by step online. Solve the equation (x+6)/3-x+6=x/15. Combine all terms into a single fraction with 3 as common denominator. Add the values 6 and 18. Combining like terms x and -3x. Factor the polynomial -2x+24 by it's greatest common factor (GCF): 2.

Final answer to the problem

$x=\frac{120}{11}$

Exact Numeric Answer

$x=10.9090909$

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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

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Function Plot

Plotting: $\frac{x+6}{3}-x+6+\frac{-x}{15}$

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Answer Assistant

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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
D□x
∫
∫◻
|◻|
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

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