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Big Ideas Math Geometry, 2014

BI

Big Ideas Math Geometry, 2014 View details

5. Measuring and Constructing Angles

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Exercise 65 Page 46

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

x=10

Practice makes perfect

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

(14x-18)+(5x+8)=180

Remove parentheses

14x-18+5x+8=180

Add terms

19x-10=180

Now we can continue to solve using the Properties of Equality.

19x-10=180

LHS+10=RHS+10

19x-10+10=180+10

Add terms

19x=190

.LHS /19.=.RHS /19.

19x/19=190/19

Calculate quotient

x=10

The solution to the equation is x=10.

Subchapter links

Communicate Your Answer p.37

Monitoring Progress p.38-42

Exercises p.43-46