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Solve the inequality $2\left(x+8\right)-3\left(2-x\right)>0$

Step-by-step Solution

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Final Answer

$x>-2$
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Step-by-step Solution

Problem to solve:

$2\left(x+8\right)-3\left(2-x\right)>0$

Specify the solving method

1

Multiply the single term $2$ by each term of the polynomial $\left(x+8\right)$

$2x+16-3\left(2-x\right)>0$

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

$2x+16-3\left(2-x\right)>0$

Unlock the first 2 steps of this solution!

Learn how to solve one-variable linear inequalities problems step by step online. Solve the inequality 2(x+8)-3(2-x)>0. Multiply the single term 2 by each term of the polynomial \left(x+8\right). Multiply the single term -3 by each term of the polynomial \left(2-x\right). Subtract the values 16 and -6. Combining like terms 2x and 3x.

Final Answer

$x>-2$
SnapXam A2
Answer Assistant

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Got another answer? Verify it!

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
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

Useful tips on how to improve your answer:

$2\left(x+8\right)-3\left(2-x\right)>0$

Time to solve it:

~ 0.07 s