4 x + 8 = 16 ( x = 2)
Answers
Step-by-step explanation:
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Answer:
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Algebra Examples
Popular Problems Algebra Solve for x 2|4x|-8=16
2
|
4
x
|
−
8
=
16
Move all terms not containing
|
4
x
|
to the right side of the equation.
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Add
8
to both sides of the equation.
2
|
4
x
|
=
16
+
8
Add
16
and
8
.
2
|
4
x
|
=
24
Divide each term by
2
and simplify.
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Divide each term in
2
|
4
x
|
=
24
by
2
.
2
|
4
x
|
2
=
24
2
Cancel the common factor of
2
.
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Cancel the common factor.
2
|
4
x
|
2
=
24
2
Divide
|
4
x
|
by
1
.
|
4
x
|
=
24
2
Divide
24
by
2
.
|
4
x
|
=
12
Remove the absolute value term. This creates a
±
on the right side of the equation because
|
x
|
=
±
x
.
4
x
=
±
12
Set up the positive portion of the
±
solution.
4
x
=
12
Divide each term by
4
and simplify.
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Divide each term in
4
x
=
12
by
4
.
4
x
4
=
12
4
Cancel the common factor of
4
.
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Cancel the common factor.
4
x
4
=
12
4
Divide
x
by
1
.
x
=
12
4
Divide
12
by
4
.
x
=
3
Set up the negative portion of the
±
solution.
4
x
=
−
12
Divide each term by
4
and simplify.
Tap for fewer steps...
Divide each term in
4
x
=
−
12
by
4
.
4
x
4
=
−
12
4
Cancel the common factor of
4
.
Tap for fewer steps...
Cancel the common factor.
4
x
4
=
−
12
4
Divide
x
by
1
.
x
=
−
12
4
Divide
−
12
by
4
.
x
=
−
3
The solution to the equation includes both the positive and negative portions of the solution.
x
=
3
,
−
3
Step-by-step explanation:
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