Let’s solve both equations step by step.
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Example 1: Solve 8x = 56
We want to find the value of
x.
Right now, x is being multiplied by 8. To get x alone, we need to do the opposite — divide both sides by 8.
So:
> 8x ÷ 8 = 56 ÷ 8
> x = 7
✔ Check: Plug x = 7 back into the original equation.
> 8 × 7 = 56 → Yes! That’s correct.
Also, write the original equation and substitute:
> Original: 8x = 56
> Substitute: 8(7) = 56 → 56 = 56 → True!
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Example 2: Solve x/4 = 12
Here, x is being divided by 4. To get x alone, we do the opposite — multiply both sides by 4.
So:
> (x/4) × 4 = 12 × 4
> x = 48
✔ Check: Plug x = 48 back into the original equation.
> 48 ÷ 4 = 12 → Yes! That’s correct.
Write it out:
> Original: x/4 = 12
> Substitute: 48/4 = 12 → 12 = 12 → True!
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Final Answer:
For Example 1: x = 7
For Example 2: x = 48
Parent Tip: Review the logic above to help your child master the concept of solving equations with multiplication and division worksheet.
