6 times the sum of a number and 3 is equal to 42. What is this number? | MathCelebrity Forum

6 times the sum of a number and 3 is equal to 42. What is this number?

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6 times the sum of a number and 3 is equal to 42. What is this number?

The phrase a number means an arbitrary variable, let's call it x.

The sum of a number and 3 means we add 3 to x:
x + 3

6 times the sum:
6(x + 3)

The word is means an equation, so we set 6(x + 3) equal to 42 to get our algebraic expression of:
6(x + 3) = 42

If the problem asks you to solve for x, then you type this equation into our search engine and you get:
x = 4
 
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