Solve the Equation: Finding X when 5X Equals 25

Linear Equations with One-Step Division

Solve for X:

5x=25 5x=25

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 We want to isolate the unknown X
00:06 Let's arrange the equation so that one side has only the unknown X
00:18 Let's simplify what we can
00:22 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve for X:

5x=25 5x=25

2

Step-by-step solution

To solve the equation 5x=255x = 25, we will isolate xx using division:

  • Divide both sides of the equation by 5:
5x5=255 \frac{5x}{5} = \frac{25}{5}

After performing the division, we get:

x=5 x = 5

Thus, the solution to the equation is x=5 x = 5 .

3

Final Answer

5

Key Points to Remember

Essential concepts to master this topic
  • Rule: To isolate x, divide both sides by coefficient
  • Technique: Divide 25 by 5 to get x = 5
  • Check: Substitute back: 5(5) = 25 matches original equation ✓

Common Mistakes

Avoid these frequent errors
  • Dividing only one side of the equation
    Don't divide just 5x by 5 and leave 25 unchanged = 5x/5 = 25 gives x = 25! This breaks the equation balance and produces wrong answers. Always perform the same operation on both sides of the equals sign.

Practice Quiz

Test your knowledge with interactive questions

Solve for X:

\( x - 3 + 5 = 8 - 2 \)

FAQ

Everything you need to know about this question

Why do I divide both sides by 5?

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You need to isolate x by getting it alone on one side. Since 5 is multiplied by x, you divide both sides by 5 to 'undo' the multiplication and keep the equation balanced.

What if the coefficient was negative, like -5x = 25?

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You still divide both sides by the coefficient! Divide both sides by -5 to get x = -5. The negative sign stays with the coefficient.

Can I add or subtract instead of dividing?

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No! When x has a coefficient (number multiplied by x), you must divide. Addition and subtraction are used when numbers are added or subtracted from x, like x + 3 = 8.

How do I check if my answer is correct?

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Substitute your answer back into the original equation. Replace x with 5: does 5(5) equal 25? Yes! So x = 5 is correct.

What if I get a fraction or decimal answer?

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That's completely normal! Many equations have fractional or decimal solutions. Just make sure to substitute your exact answer back to verify it works.

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