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Big Ideas Math Integrated I, 2016 – Measuring and Constructing Segments

x=- 13

Solution

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, using the Properties of Equality. In this case, we will start by using the Multiplication Property of Equality to remove the fraction on the left-hand side of the equation.

-5+x/2=-9
MultEqn

LHS * 2=RHS* 2

2*-5+x/2=2*(-9)
DenomMultFracToNumber

2 * a/2= a

-5+x=2*(-9)
MultPosNeg

a(- b)=- a * b

-5+x=-18
AddEqn

LHS+5=RHS+5

-5+x+5=-18+5
AddTerms

Add terms

x=-13

The solution to the equation is x=-13.

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