Join Karin Hutchinson for an indepth discussion in this video Solving equations with variables on both sides using the distributive property, part of Learning Algebra: Solving Equations.
 For our last example…of equations with variables on both sides,…we're going to take a look at an equation…that also contains the Distributive Property.…Whenever you see parentheses,…you always need to remove those parentheses…before you begin solving.…So, we're going to begin by using the Distributive Property…to get rid of the parentheses.…So, I'm going to begin by bringing down the 4x,…and next I'm going to distribute 2,…so 2 times x is 2x, and we write that as 2x.…
And then, 2 times 2 is +4,…so we're gonna write that as + 4…On the righthand side,…we're going to distribute the 5,…so this is 5 times x, which is 5x,…and 5 times 1, which is 5;…I'm going to write as 5.…So, now that I've gotten rid of the parentheses,…I can focus on getting all the variables on one side.…But, actually, before I do that,…notice that the lefthand side has like terms,…and we can't go any farther,…until we combine those like terms.…
So, 4x  2x is 2x, so now we have 2x + 4 = 5x 5.…Now's when I can concentrate…on getting all of the variables…
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
Views
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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 equations with variables on both sides using the distributive property