Join Karin Hutchinson for an indepth discussion in this video Solving division problems, part of Foundations of Algebra: Solving Equations.
 For this division equation, we will solve for x. And we have x divided by five equals negative 95. Now you might think to yourself that this looks like a fraction and it does because it is a fraction, but we need to remember that the fraction bar is actually also a division sign. So we can read this as x divided by five equals negative 95. Since we're working with division, we know that the opposite of division is multiplication. So we're going to use multiplication to solve this problem.
I need to get rid of the five, so I'm going to multiply by five on both sides of the problem. And this is why it works. We now have five divided by five, which simplifies to one, and one times x is just x, and then really one times one is one, so x divided by one is just x. And that's why, when we multiply by five, we're able to get rid of the five in the denominator and leave x by itself.
On the right hand side we now have negative 95 times five, which is negative 475. So the final answer is x equals negative 475, but let's not forget to check our answer. Our original problem is x divided by five equals negative 95 and we found our answer to be negative 475. So I'm going to write that in place of x in the original problem.
So we now have negative 475 divided by five equals negative 95. So when we divide negative 475 divided by five, we do get negative 95, and since the left and right hand sides of this equation match, they're both equal to negative 95, I know that my final answer is correct.
Author
Karin HutchinsonReleased
10/19/2015 Isolating variables
 Keeping equations balanced
 Solving addition and subtraction equations
 Solving multiplication and division equations
 Solving equations that involve the distributive property
 Solving twostep and multistep equations
 Solving equations with decimals and fractions
 Solving equations with variables on both sides
 Understanding literal equations
 Solving absolute value equations
Skill Level Appropriate for all
Duration
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Introduction

Welcome1m 4s


1. Introduction to Solving Equations

Keeping equations balanced1m 30s

2. Addition Equations

3. Subtraction Equations

4. Multiplication Equations

5. Division Equations

6. TwoStep Equations

Solving a twostep equation1m 56s

7. Solving Multistep Equations with the Distributive Property

8. Solving Equations with Decimals

9. Solving Equations with Fractions

10. Solving Literal Equations

11. Equations with Variables on Both Sides

12. Solving Multistep Equations

13. Solving Absolute Value Equations

Conclusion

Next steps37s

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Video: Solving division problems