Identify the properties used in step 1 and step 2 to solve the equation shown. then discuss why those properties were used. problem: steps: 2x + 6 = 22 given problem 2x = 16 (1) identify and discuss the property that was used. x = 8 (2) identify and discuss the property that was used.

Step                Property

2x+6 = 22       given

2x = 16            addition property of equality (-6 added to both sides)

x = 8                multiplication property of equality (both sides × 1/2)

In general equations are solved by reversing the steps done to the variable. Here, the variable (x) is multiplied by 2 and 6 is added to that product. So, to find x, we undo the addition of 6 (by adding -6, the additive inverse), and undo the multiplication by 2 (by multiplying by 1/2, the multiplicative inverse).

If other functions were performed on the variable in the original equation, their inverse functions would be used, too, as part of the solution process.

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