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Solve the equation $\frac{7x+6}{4}=\frac{2x-3}{5}$

Step-by-step Solution

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Solution

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Final answer to the problem

$x=-\frac{14}{9}$
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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 one-variable linear equations problems step by step online.

$5\left(7x+6\right)=4\left(2x-3\right)$

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Unlock the first 3 steps of this solution

Learn how to solve one-variable linear equations problems step by step online. Solve the equation (7x+6)/4=(2x-3)/5. Apply fraction cross-multiplication. Solve the product 5\left(7x+6\right). Solve the product 4\left(2x-3\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

$x=-\frac{14}{9}$

Exact Numeric Answer

$x=-1.5555556$

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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: $\frac{7x+6}{4}+\frac{-2x+3}{5}$

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Answer Assistant

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Got a different answer? Verify it!

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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

How to improve your answer:

Similar Problems Solved

$3x=36$

$\frac{4x+6}{3}=\frac{x+9}{2}$

$\frac{x+2}{3}=\frac{2x-1}{14}$

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

$\frac{6x+7}{3}=\frac{9x+3}{7}$

$\left(\frac{n}{3}\right)=\left(\frac{n}{2}\right)$

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

Main Topic: One-variable linear equations

Algebraic equations that have just one variable.

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