how do you do this??
-4x-7=-2(x+3)
-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
To solve the equation -4x-7=-2(x+3), we can follow these steps:
1. Distribute the -2 on the right side of the equation:
-4x - 7 = -2x - 6
2. Simplify the equation by combining like terms on both sides. Add 4x to both sides:
-4x + 4x - 7 = -2x + 4x - 6
-7 = 2x - 6
3. Move the constant term (-6) to the left side by adding 6 to both sides:
-7 + 6 = 2x - 6 + 6
-1 = 2x
4. Divide both sides of the equation by 2 to isolate x:
-1/2 = x
Therefore, the solution to the equation -4x-7=-2(x+3) is x = -1/2.