What is the value of x, when 10(x + 2) = 5(x + 8)?

Solution:

Given, the equation is 10(x + 2) = 5(x + 8).

We have to find the value of x.

Now, 10(x + 2) = 10(x) + 10(2)

= 10x + 20

Similarly, 5(x + 8) = 5(x) + 5(8)

= 5x + 40

So, 10x + 20 = 5x + 40

On grouping of common terms,

10x - 5x = 40 - 20

5x = 20

x = 20/5

x = 4

Therefore, the value of x is 4.

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What is the value of x, when 10(x + 2) = 5(x + 8)?

Summary:

The value of x, when 10(x + 2) = 5(x + 8) is 4.