body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Dashboard

Big Ideas Math: Modeling Real Life, Grade 7 View details

Chapter Review

Finish the assignment

Continue to next subchapter

Exercise 25 Page 174

Gather all of the variable terms on one side of the equation and all of the constant terms on the other side.

x=- 3.5

Practice makes perfect

To solve an equation, we should first gather all of the variable terms on one side and all of the constant terms on the other side using the Properties of Equality. In this case, we need to start by using the Addition Property of Equality to simplify the left- and right-hand sides of the equation.

- 3x-4.6=5.9

AddEqn

LHS+4.6=RHS+4.6

- 3x-4.6+4.6=5.9+4.6

AddTerms

Add terms

- 3x=10.5

Now, we can continue to solve using the Division Property of Equality.

- 3x=10.5

DivEqn

.LHS /(- 3).=.RHS /(- 3).

- 3x/- 3=10.5/- 3

MovePartNumRight

a* b/c=a/c* b

- 3/- 3x=10.5/- 3

QuotOne

a/a=1

1x=10.5/- 3

IdPropMult

Identity Property of Multiplication

x=10.5/- 3

MoveNegDenomToFrac

Put minus sign in front of fraction

x=- 10.5/3

WriteDec

Write as a decimal

x=- 3.5

The solution to the equation is x=- 3.5. We can check our solution by substituting it into the original equation.

- 3x-4.6=5.9

Substitute

x= - 3.5

- 3( - 3.5)-4.6? =5.9

▼

Simplify

MultNegNegOnePar

- a(- b)=a* b

3(3.5)-4.6? =5.9

Multiply

10.5-4.6? =5.9

SubTerm

Subtract term

5.9=5.9 ✓

Since the left-hand side is equal to the right-hand side, our solution is correct.

Extra

Learn More!

Are you having trouble learning how to solve equations? Would you like to see why the Properties of Equality work? Do real-world examples help you understand more about the why and how of math topics? If you answered Yes to any of these questions, check out the Mathleaks courses related to this topic!

Subchapter links

1 Solving Equations Using Addition or Subtraction p.173

2 Solving Equations Using Multiplication or Division p.173

3 Solving Two-Step Equations p.174

4 Writing and Graphing Inequalities p.174

5 Solving Inequalities Using Addition or Subtraction p.174-175

6 Solving Inequalities Using Multiplication or Division p.175

7 Solving Two-Step Inequalities p.175

Exercise 25 Page 174

Hints

Check the answer

Practice exercises

Asses your skill

Extra