Answer and Step-by-step explanation:
We are given: 18x - 2(3x + 1) = 5x - 16
First, lets distribute the -2 to the 3x and 1.
18x - 6x - 2 = 5x - 16
Now, we combine like terms.
12x - 2 = 5x - 16
Next, we add 2 to each side.
12x = 5x -14
Now, we subtract 5x from both sides.
7x = -14
Finally, we divide by 7 on both sides.
x = -2
Statements: Reasons:
18x - 2(3x + 1) = 5x - 16 Given
18x - 6x - 2 = 5x - 16 Distributive Property of Equality
12x - 2 = 5x - 16 Combine like terms
12x = 5x -14 Addition Property of Equality
7x = -14 Subtraction Property of Equality
x = -2 Division Property of Equality
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