Try NerdPal! Our new app on iOS and Android

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

## Step-by-step Solution

Go!
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

### Videos

$x>-2$
Got another answer? Verify it here!

## 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.

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

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.

$x>-2$
SnapXam A2

### beta 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

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

### Main topic:

One-variable linear inequalities

~ 0.07 s