-5x-10 = 2-(x+4)
-5x - 10 = 2 - (x + 4)
-4x = 12 - 4
-4x = 8
x = -2
Thx Ms.Sue! But why the +4 became -4? I confused with this part
There's a minus sign in front of the quantity in parentheses
2 - (x + 4)
A + and a - is always a minus.
what if there's a sign of positive in front of the quantity in parenthese, such like 2+(x+4)....which mean the +4 will be staying the same as +4?
Yes.
To solve the given equation -5x-10 = 2-(x+4), follow these steps:
Step 1: Simplify the equation by first distributing the negative sign inside the parentheses on the right side:
-5x - 10 = 2 - x - 4
Step 2: Combine like terms on both sides of the equation:
-5x - 10 = -x - 2
Step 3: To isolate the variable x, start by moving all terms containing x to one side of the equation. We do this by adding x to both sides:
-5x + x - 10 = -x + x - 2
-4x - 10 = -2
Step 4: Next, move the constant term (-10) to the other side of the equation by adding 10 to both sides:
-4x - 10 + 10 = -2 + 10
-4x = 8
Step 5: Finally, solve for x by dividing both sides of the equation by -4:
(-4x)/(-4) = 8/(-4)
x = -2
Therefore, the solution to the equation -5x-10 = 2-(x+4) is x = -2.