Question Find the algebraic expression for the sum of 5 and $x$ multiplied by 2, then subtracted from 13.

Studdy Solution

STEP 1

Assumptions
1. Let $x$ represent the unknown variable.
2. The sum of 5 and $x$ is expressed as $5 + x$ .
3. This sum is multiplied by 2, which can be represented as $2(5 + x)$ .
4. The result of this multiplication is then subtracted from 13.
5. The final expression does not need to be simplified.

STEP 2

First, write the sum of 5 and $x$ .
$Sum = 5 + x$

STEP 3

Next, multiply the sum by 2.
$Product = 2 \cdot (5 + x)$

STEP 4

Finally, subtract the result from 13 to get the algebraic expression.
$Algebraic\, expression = 13 - 2 \cdot (5 + x)$
The algebraic expression representing the description is $13 - 2(5 + x)$ .

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