x+3=-(2x+2)
Distribute that negative 1 through the parentheses and that gets you
x+3=-2x-2 Then, add 2x to both sides
3x+3=-2 Finally, subtract 3 from each of the two sides.
3x=-5 Divide through by 3 and what is X?
To solve the equation x + 3 = -(2x + 2), we can follow these steps:
1. Distribute the negative sign to the terms inside the parentheses on the right-hand side of the equation:
x + 3 = -2x - 2
2. Combine like terms on both sides of the equation. Add 2x to both sides:
x + 2x + 3 = - 2
Simplify the left-hand side by combining the x terms:
3x + 3 = -2
3. Next, isolate the variable x by subtracting 3 from both sides of the equation:
3x + 3 - 3 = -2 - 3
Simplify:
3x = -5
4. To solve for x, divide both sides of the equation by 3:
3x/3 = -5/3
This gives us:
x = -5/3
So, the solution to the equation x + 3 = -(2x + 2) is x = -5/3.