what is answer to equation
3x+1=-5x+65?
I came up with x=33, but don't think I did it right.
8 x = 64
x = 8
3x+1=-5x+65
3x + 5x + 1 = -5x + 5x + 65
8x + 1 - 1 = 65 - 1
8x = 64
x = 8
Let's prove that by substitution.
3(8) + 1 = -5(8) + 65
25 = -40 + 65
25 = 25
Yep. x = 8
To solve the equation 3x + 1 = -5x + 65, we need to isolate the variable x. Here is how you can do it step by step:
Step 1: Combine like terms
Since we have x terms on both sides of the equation, let's move them to one side by adding 5x to both sides:
3x + 5x + 1 = -5x + 5x + 65
Simplifying the equation, we get:
8x + 1 = 65
Step 2: Isolate the variable
Now, let's isolate the x term by subtracting 1 from both sides:
8x + 1 - 1 = 65 - 1
Simplifying the equation, we get:
8x = 64
Step 3: Solve for x
To solve for x, divide both sides of the equation by 8:
(8x)/8 = 64/8
Simplifying the equation, we get:
x = 8
So, the correct solution to the equation 3x + 1 = -5x + 65 is x = 8, not x = 33.