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if the sum of a number and 6 is multiplied by 5, the result is the same as 7 times the number increased by 16. find the number?

1 Answer

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Let:

x = number we want to find

the sum of a number and 6 is multiplied by 5:

(x + 6)*5

the result is the same as 7 times the number increased by 16. So:

(x + 6)*5 = 7x + 16

Let's solve for x:

Use distributive property on the left hand side:

5x + 30 = 7x + 16

Subtract 5x from both sides:

5x + 30 - 5x = 7x + 16 - 5x

30 = 2x + 16

Subtract 16 from both sides:

30 - 16 = 2x + 16 - 16

14 = 2x

Divide both sides by 2:

14/2 = 2x/2

7 = x

User Tobiash
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