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Let’s check out your problem:
Type the integer that makes the following division sentence true:
\newline
−
18
÷
_
_
_
_
_
=
−
6
-18 \div \_\_\_\_\_ = -6
−
18
÷
_____
=
−
6
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Math Problems
Grade 7
Complete multiplication and division equations with integers
Full solution
Q.
Type the integer that makes the following division sentence true:
\newline
−
18
÷
_
_
_
_
_
=
−
6
-18 \div \_\_\_\_\_ = -6
−
18
÷
_____
=
−
6
Set up the equation:
Step
1
1
1
: Set up the equation with a placeholder for the missing number. The equation is
–
18
÷
x
=
–
6
–18 \div x = –6
–18
÷
x
=
–6
.
Isolate and multiply:
Step
2
2
2
: To isolate
x
x
x
, multiply both sides by
x
x
x
and then divide both sides by
−
6
-6
−
6
.
(
−
18
x
)
⋅
x
=
−
6
⋅
x
\left(-\frac{18}{x}\right) \cdot x = -6 \cdot x
(
−
x
18
)
⋅
x
=
−
6
⋅
x
−
18
=
−
6
x
-18 = -6x
−
18
=
−
6
x
Solve for x:
Step
3
3
3
: Solve for x by dividing both sides by
−
6
-6
−
6
.
\newline
x
=
−
18
−
6
x = \frac{-18}{-6}
x
=
−
6
−
18
\newline
x
=
3
x = 3
x
=
3
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