Solve for X: Finding the Number That Equals -17 When -5 Is Added

What number results in -17 when -5 is added to it?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find the unknown
00:04 Find the result on the axis
00:07 The number is directed, negative
00:11 Movement to the negative side on the axis is leftward
00:15 Find which number when we move 5 steps left from it gives the result
00:18 To check, let's take 5 jumps to the right
00:23 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

What number results in -17 when -5 is added to it?

2

Step-by-step solution

To solve this problem, we need to follow these steps:

  • Step 1: Write down the equation representing the problem: x+(5)=17 x + (-5) = -17 .
  • Step 2: Isolate the variable x x by performing basic arithmetic operations.

Now, let's work through each step:

Step 1: The equation given by the problem is x+(5)=17 x + (-5) = -17 . This means we need to find a number x x that, when -5 is added, results in -17.

Step 2: To solve for x x , we need to isolate it. We can do this by adding 5 to both sides of the equation:

x+(5)+5=17+5 x + (-5) + 5 = -17 + 5

On the left side, adding 5 cancels out the -5, leaving us with:

x=17+5 x = -17 + 5

Now, perform the arithmetic operation on the right-hand side:

17+5=12 -17 + 5 = -12

Therefore, the number we are looking for is x=12 x = -12 .

Thus, the solution to the problem is 12-12.

3

Final Answer

12 -12

Practice Quiz

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a is negative number.

b is negative number.

What is the sum of a+b?

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