Answer:
x = 6
Explanation:
The properties of equality let you add the same thing to both sides of the equation without changing the value of the variable. The same is true for dividing both sides of the equation by the same thing. These properties can be used to find the value of the variable.
Solution
2x + 3 = 15 . . . . . . given
2x +3 -3 = 15 -3 . . . . add the opposite of 3 to both sides
2x = 12 . . . . . . . . simplify
2x/2 = 12/2 . . . . . . . divide both sides by 2
x = 6 . . . . . . . . . simplify
Check
This value of x can be checked in the original equation to see if it makes the equation true:
2×6 + 3 = 15 . . . . . . substitute 6 for x
12 +3 = 15 . . . . . . . . a TRUE arithmetic fact
The value of x is 6, because that value makes the equation a true statement.