x/2+6= x/3+2x/7 solve it
Answers
Answered by
2
Answer:
Solution
=
2
5
2
5
Step-by-step explanation:
Subtract
6
6
6
from both sides of the equation
2
+
6
=
3
+
2
7
\frac{x}{2}+6=\frac{x}{3}+\frac{2x}{7}
2x+6=3x+72x
2
+
6
−
6
=
3
+
2
7
−
6
Subtract the numbers
2
=
3
+
2
7
−
6
Multiply all terms by the same value to eliminate fraction denominators
2
=
3
+
2
7
−
6
\frac{x}{2}=\frac{x}{3}+\frac{2x}{7}-6
2x=3x+72x−6
2
⋅
3
⋅
7
⋅
2
=
2
⋅
3
⋅
7
(
3
+
2
7
−
6
)
2
1
=
2
6
−
2
5
2
Subtract
2
6
26x
26x
from both sides of the equation
2
1
=
2
6
−
2
5
2
21x=26x-252
21x=26x−252
2
1
−
2
6
=
2
6
−
2
5
2
−
2
6
−
5
=
−
2
5
−
5
=
−
2
5
2
-5x=-252
−5x=−252
−
5
−
5
=
−
2
5
2
−
5
\frac{-5x}{{\color{#c92786}{-5}}}=\frac{-252}{{\color{#c92786}{-5}}}
−5−5x=−5−252
Divide the numbers
=
2
5
2
5
Answered by
0
Answer:
252/5
Step-by-step explanation:
x/2-x/3=x/6
2x/7 - x/6 =5x/42
6*42/5=x
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