Answer: 12
x
+
3
4
=
3
2
12
x
+
3
4
=
3
2
Move
3
2
3
2
to the left side of the equation by subtracting it from both sides.
12
x
+
3
4
−
3
2
=
0
12
x
+
3
4
-
3
2
=
0
Simplify
12
x
+
3
4
−
3
2
12
x
+
3
4
-
3
2
.
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12
x
−
3
4
=
0
12
x
-
3
4
=
0
To write
−
3
2
-
3
2
as a fraction with a common denominator, multiply by
2
2
2
2
.
12
x
+
3
4
−
3
2
⋅
2
2
=
0
12
x
+
3
4
-
3
2
⋅
2
2
=
0
Write each expression with a common denominator of
4
4
, by multiplying each by an appropriate factor of
1
1
.
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12
x
+
3
4
−
3
⋅
2
4
=
0
12
x
+
3
4
-
3
⋅
2
4
=
0
Combine the numerators over the common denominator.
12
x
+
3
−
3
⋅
2
4
=
0
12
x
+
3
-
3
⋅
2
4
=
0
Simplify the numerator.
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12
x
+
−
3
4
=
0
12
x
+
-
3
4
=
0
Move the negative in front of the fraction.
12
x
−
3
4
=
0
12
x
-
3
4
=
0
To write
12
x
12
x
as a fraction with a common denominator, multiply by
4
4
4
4
.
12
x
⋅
4
4
−
3
4
=
0
12
x
⋅
4
4
-
3
4
=
0
To write
−
3
4
-
3
4
as a fraction with a common denominator, multiply by
x
x
x
x
.
12
x
⋅
4
4
−
3
4
⋅
x
x
=
0
12
x
⋅
4
4
-
3
4
⋅
x
x
=
0
Write each expression with a common denominator of
x
⋅
4
x
⋅
4
, by multiplying each by an appropriate factor of
1
1
.
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12
⋅
4
4
x
−
3
x
4
x
=
0
12
⋅
4
4
x
-
3
x
4
x
=
0
Combine the numerators over the common denominator.
12
⋅
4
−
3
x
4
x
=
0
12
⋅
4
-
3
x
4
x
=
0
Simplify the numerator.
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3
(
16
−
x
)
4
x
=
0
3
(
16
-
x
)
4
x
=
0
Find the LCD of the terms in the equation.
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4
x
4
x
Multiply each term by
4
x
4
x
and simplify.
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48
−
3
x
=
0
48
-
3
x
=
0
Solve the equation.
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x
=
16
x
=
16
