If 11 times a number is added to twice the number, the result is 104 | MathCelebrity Forum

If 11 times a number is added to twice the number, the result is 104

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If 11 times a number is added to twice the number, the result is 104

Let the number be an arbitrary variable we call x.

11 times a number:
11x

Twice the number (means we multiply x by 2):
2x

The phrase is added to means we add 2x to 11x:
11x + 2x

Simplify by grouping like terms:
(11 + 2)x = 13x

The phrase the result is means an equation, so we set 13x equal to 104:
13x = 104 <-- This is our algebraic expression

To solve this equation for x, we type it in our search engine and we get:
x = 8
 
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