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# Solve the equation $\frac{x+1}{2}+\frac{-\left(2-x\right)}{3}=0$

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##  Final answer to the problem

$x=\frac{1}{5}$
Got another answer? Verify it here!

##  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
Can't find a method? Tell us so we can add it.
1

Simplify the product $-(2-x)$

$\frac{x+1}{2}+\frac{-2+x}{3}=0$
2

The least common multiple (LCM) of a sum of algebraic fractions consists of the product of the common factors with the greatest exponent, and the uncommon factors

$L.C.M.=3\cdot 2=6$
3

Obtained the least common multiple (LCM), we place it as the denominator of each fraction, and in the numerator of each fraction we add the factors that we need to complete

$\frac{3\left(x+1\right)}{6}+\frac{2\left(-2+x\right)}{6}$
4

Simplify the numerators

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

Combine and simplify all terms in the same fraction with common denominator $6$

$\frac{5x-1}{6}=0$
6

Multiply both sides of the equation by $6$

$5x-1=0$
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We need to isolate the dependent variable , we can do that by simultaneously subtracting $-1$ from both sides of the equation

$5x-1+1=0+1$
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Canceling terms on both sides

$5x=1$
9

Divide both sides of the equation by $5$

$\frac{5x}{5}=\frac{1}{5}$
10

Simplifying the quotients

$x=\frac{1}{5}$

##  Final answer to the problem

$x=\frac{1}{5}$

$x=0.2$

##  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

SnapXam A2

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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
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

###  Main Topic: One-variable linear equations

Algebraic equations that have just one variable.