High School

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Write the equation in one variable for the statement: "The sum of a number and 7 is 15."

Equation: [tex] x + 7 = 15 [/tex]

Answer :

To solve the problem where the statement is "The sum of a number and 7 is 15," we need to set up an equation in one variable. Here's how to do it step-by-step:

1. Identify the unknown number: Let's use the variable [tex]\( x \)[/tex] to represent the unknown number.

2. Translate the statement into an equation: According to the statement, the sum of the number and 7 is 15. This can be written as:
[tex]\[
x + 7 = 15
\][/tex]

3. Solve the equation for the variable [tex]\( x \)[/tex]: We want to find the value of [tex]\( x \)[/tex] that makes the equation true. To do this, we'll subtract 7 from both sides of the equation to isolate [tex]\( x \)[/tex]:
[tex]\[
x + 7 - 7 = 15 - 7
\][/tex]
This simplifies to:
[tex]\[
x = 8
\][/tex]

So, the number that meets the condition stated in the problem is 8.

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