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\[|x-5|=3\]
+
−
.
ln
>
<
×
÷
/
log
≥
≤
(
)
log
x
=
%
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|x-5|=3
|x-5|=3
|x-5|=3
1
Break down the problem into these 2 equations.
x
−
5
=
3
x-5=3
x
−
5
=
3
−
(
x
−
5
)
=
3
-(x-5)=3
−
(
x
−
5
)
=
3
2
Solve the 1st equation:
x
−
5
=
3
x-5=3
x
−
5
=
3
.
1
Add
5
5
5
to both sides.
x
=
3
+
5
x=3+5
x
=
3
+
5
2
Simplify
3
+
5
3+5
3
+
5
to
8
8
8
.
x
=
8
x=8
x
=
8
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x
=
8
x=8
x
=
8
3
Solve the 2nd equation:
−
(
x
−
5
)
=
3
-(x-5)=3
−
(
x
−
5
)
=
3
.
1
Remove parentheses.
−
x
+
5
=
3
-x+5=3
−
x
+
5
=
3
2
Regroup terms.
5
−
x
=
3
5-x=3
5
−
x
=
3
3
Subtract
5
5
5
from both sides.
−
x
=
3
−
5
-x=3-5
−
x
=
3
−
5
4
Simplify
3
−
5
3-5
3
−
5
to
−
2
-2
−
2
.
−
x
=
−
2
-x=-2
−
x
=
−
2
5
Multiply both sides by
−
1
-1
−
1
.
x
=
2
x=2
x
=
2
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Cymath Plus
!
x
=
2
x=2
x
=
2
4
Collect all solutions.
x
=
2
,
8
x=2,8
x
=
2
,
8
Done
x=2,8
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