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Solve the equation $\frac{1\left(5x-2\right)}{3}-\frac{1}{4}=\frac{3x}{2}+\frac{1}{4}$

Step-by-step Solution

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Final answer to the problem

$x=7$
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Step-by-step Solution

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Any expression multiplied by $1$ is equal to itself

$\frac{5x-2}{3}-\frac{1}{4}=\frac{3x}{2}+\frac{1}{4}$

Learn how to solve one-variable linear equations problems step by step online.

$\frac{5x-2}{3}-\frac{1}{4}=\frac{3x}{2}+\frac{1}{4}$

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Learn how to solve one-variable linear equations problems step by step online. Solve the equation ((5x-2)1)/3-1/4=(3x)/2+1/4. Any expression multiplied by 1 is equal to itself. We need to isolate the dependent variable , we can do that by simultaneously subtracting -\frac{1}{4} from both sides of the equation. Multiply both sides of the equation by 3. Combine all terms into a single fraction with 2 as common denominator.

Final answer to the problem

$x=7$

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 completing the squareSolve by quadratic formula (general formula)Find break even pointsFind the discriminant

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Function Plot

Plotting: $\frac{1\left(5x-2\right)}{3}-\frac{1}{4}+\frac{-3x}{2}-\frac{1}{4}$

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1
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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

How to improve your answer:

Main Topic: One-variable linear equations

Algebraic equations that have just one variable.

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