Using Distributive property to solve equations: distributing a silent -1
-(3x + 2) = -2x - 6
I come up with a solution of -1 but checking answer in back of book says correct answer is 1. Not sure what I'm doing wrong.
1 Answer | Add Yours
Since (3x+2) is preceded by a negative sign, it indicates that we are multiplying it by -1.
Applying distributive property at the left side of the equation, it becomes:
Then, combine like terms.
Since -3x and -2x are on the opposite side of the equation, to combine move -2x to the left side by doing the opposite of minus.
Also, since -2 and -6 are on the opposite side of the equation, move -2 to the right side by doing the opposite of minus.
And to have x only a the left side, the negative beside x must be eliminated. To do so, divide both sides by -1.
Hence, the solution of the given equation is `x=4` .
We’ve answered 318,989 questions. We can answer yours, too.Ask a question