Posted by Mackenzie on Wednesday, May 7, 2008 at 9:10pm.
-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
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