8-3x=2x-8
X=3.2
I appreciate you giving me the answer but can you show me how you got the answer if you don't mind.
collect x's on one side, numbers on the other:
5x = 16
To solve the equation 8 - 3x = 2x - 8, we need to find the value of x that makes both sides of the equation equal.
Step 1: Start by simplifying the equation by combining like terms.
On the left side, we have 8 - 3x. On the right side, we have 2x - 8.
8 - 3x = 2x - 8
Step 2: Move all the terms with x to one side of the equation by adding 3x to both sides and subtracting 2x from both sides.
8 - 3x + 3x = 2x - 8 + 3x - 2x
8 = 5x - 8
Step 3: Move all the constants to the other side by adding 8 to both sides.
8 + 8 = 5x - 8 + 8
16 = 5x
Step 4: Divide both sides of the equation by 5 to isolate the variable x.
16/5 = 5x/5
x = 16/5
So, the solution to the equation 8 - 3x = 2x - 8 is x = 16/5.