Question

how do you do this??

-4x-7=-2(x+3)

Answer 1

-4x-7=-2(x+3)


Multiply -2 by each term inside the parenthesis (x+3).

-4x-7=(-2(x)-2(3))


Complete the multiplication of -2 by each term inside the parenthesis.

-4x-7=(-2x-6)


Remove the parenthesis around the expression -2x-6.

-4x-7=-2x-6


Since -2x contains the variable to solve for, move it to the left-hand side of the equation by adding 2x to both sides.

-4x-7+2x=-6


Since -4x and 2x are like terms, subtract 2x from -4x to get -2x.

-2x-7=-6


Since -7 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 7 to both sides.

-2x=7-6


Subtract 6 from 7 to get 1.

-2x=1

Divide each term in the equation by -2.

Simplify the left-hand side of the equation by canceling the common terms.


Simplify the right-hand side of the equation by simplifying each term.
therefore x = -1/2