3x-1/2=5/2+x find x value
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Answer : 5
Given,
16
3x+1
+
7
2x−3
=
8
x+3
+
14
3x−1
.
Taking LCM on both sides, we get,
LCM of 16,7= LCM of 8,14=112.
Then,
⟹ (
16
3x+1
×
112
112
)+(
7
2x−3
×
112
112
)=(
8
x+3
×
112
112
)+(
14
3x−1
×
112
112
)
⟹
112
7(3x+1)
+
112
16(2x−3)
=
112
14(x+3)
+
112
8(3x−1)
⟹
112
7(3x+1)+16(2x−3)
=
112
14(x+3)+8(3x−1)
.
Now, cancelling 112 from both sides, we get,
⟹ 7(3x+1)+16(2x−3)=14(x+3)+8(3x−1)
⟹ 21x+7+32x−48=14x+42+24x−8
⟹ 21x+32x−14x−24x=42−8−7+48
⟹ 15x=75
⟹ x=5.
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