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Solve the equation $\frac{2x-7}{7}=\frac{9x-2}{3}$

Step-by-step Solution

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Solution

Final answer to the problem

$x=\frac{7}{-57}$
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Step-by-step Solution

How should I solve this problem?

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

Apply fraction cross-multiplication

Learn how to solve problems step by step online.

$3\left(2x-7\right)=7\left(9x-2\right)$

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Unlock the first 3 steps of this solution

Learn how to solve problems step by step online. Solve the equation (2x-7)/7=(9x-2)/3. Apply fraction cross-multiplication. Solve the product 3\left(2x-7\right). Solve the product 7\left(9x-2\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.

Final answer to the problem

$x=\frac{7}{-57}$

Exact Numeric Answer

$x=-0.122807$

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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: $\frac{2x-7}{7}+\frac{-9x+2}{3}$

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Answer Assistant

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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
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

How to improve your answer:

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