the value of x in the equation 2x by 3 -7 = 3x by 2 +5 is?
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Answer:
The value of x in given expression is 8/15.
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Here is the answer
\tt {x + \frac{2}{3} = 3x - \frac{2}{5}}x+
3
2
=3x−
5
2
\bf { \frac{2}{3} = 3x - x - \frac{2}{5} }
3
2
=3x−x−
5
2
\bf{ \frac{2}{3} = 2x - \frac{2}{5} }
3
2
=2x−
5
2
\bf{ \frac{2}{3} + \frac{2}{5} = 2x }
3
2
+
5
2
=2x
Equal the Denominator
\bf{\frac{2 \times 5}{3 \times 5} + \frac{2 \times 3}{5 \times 3} = 2x}
3×5
2×5
+
5×3
2×3
=2x
\bf{\frac{10}{15} + \frac{6}{15} = 2x}
15
10
+
15
6
=2x
\bf {\frac{16}{15} = 2x}
15
16
=2x
\bf {\frac{ \frac{16}{15} }{2} = x}
2
15
16
=x
\bf{\frac{16}{15} \times {\frac{1}{2}} = x}
15
16
×
2
1
=x
\bf{\frac{8}{15} = x}
15
8
=x
Thus , The value of x is 8/15.
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