Question

2x/3+6=3x/5+8 find the value of x

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Answer 1

Answer:

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Given, 2x−5=3(x−5)

⇒2x−5=3x−15.

Transpose x terms on one side, we get

⇒3x−2x=−5+15

⇒x=10.

Therefore, value of x is 10.

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Answer 2

Answer:

Required value of x is 30.

Step-by-step explanation:

Given equation is $\frac{2x}{3} + 6 = \frac{3x}{5} + 8$

Here we want to find value of x.

First we are separating variable and constant part,

$\frac{2x}{3} - \frac{3x}{5} = 8 - 6$

We are doing subtraction by fraction subtraction rule,

$\frac{10x - 9x}{15} = 2$

$\frac{x}{15} = 2$

By cross multiplication,

$x = 2 \times 15$

So,$x = 30$

Therefore value of x is 30.