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# If 7(x/2 + x/5) = 3, what is the value of x?

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Re: If 7(x/2 + x/5) = 3, what is the value of x? [#permalink]
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Solution

Given
In this question, we are given that
• 7(x/2 + x/5) = 3

To find
We need to determine
• The value if x

Approach and Working out
Simplifying the given equation, we get
• 7(x/2 + x/5) = 3
Or, 7[(5x + 2x)/10] = 3
Or, 49x/10 = 3
Or, x = 30/49

Thus, option B is the correct answer.

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Re: If 7(x/2 + x/5) = 3, what is the value of x? [#permalink]
1
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Top Contributor
Given that $$7(\frac{x}{2} + \frac{x}{5}) = 3$$ and we need to find the value of x

Multiplying both the sides by 10 we get

$$7(\frac{10*x}{2} + \frac{10*x}{5}) = 10*3$$
=> 7(5x + 2x) = 30
=> 7*7x = 30
=> 49x = 30
=> x = $$\frac{30}{49}$$