Answer: x
=
19
1
3
Explanation:
6
14
=
7
x
−
3
Rewrite the equation as
7
x
−
3
=
6
14
.
7
x
−
3
=
6
14
Cancel the common factor of
6
and
14
.
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7
x
−
3
=
3
7
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
7
⋅
7
=
(
x
−
3
)
⋅
3
Solve the equation for
x
.
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x
=
58
3
The result can be shown in multiple forms.
Exact Form:
x
=
58
3
Decimal Form:
x
=
19.
¯
3
Mixed Number Form:
x
=
19
1
3