Step-by-step explanation:
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)
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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.
