8x-12=3x+38 what is X?
8x-12=3x+38
8x - 3x = 38 + 12
5x = 50
x = ?
8x-12=3x+38
5x-12=38
5x=50
x=10
To find the value of x in the equation 8x - 12 = 3x + 38, we will follow these steps:
Step 1: Combine like terms:
Start by moving the 3x term to the left side of the equation by subtracting 3x from both sides. This gives us:
8x - 3x - 12 = 3x - 3x + 38. Simplifying further, we obtain:
5x - 12 = 38.
Step 2: Isolate the variable term:
Next, we want to isolate the x term by getting rid of the constant term on the left side. We can do this by adding 12 to both sides of the equation:
5x - 12 + 12 = 38 + 12. This simplifies to:
5x = 50.
Step 3: Solve for x:
To solve for x, we need to get x by itself on one side of the equation. In this case, we can do this by dividing both sides of the equation by 5:
5x/5 = 50/5, which yields:
x = 10.
So, the value of x in the given equation is 10.