To find the value of x that satisfies the equation 5x + 15 = 10 + 20x, we can start by rearranging the terms.
Step 1: Move all terms involving x to one side and constant terms to the other side. We can do this by subtracting 5x from both sides of the equation:
5x + 15 – 5x = 10 + 20x – 5x
This simplifies to:
15 = 10 + 15x
Step 2: Next, subtract 10 from both sides to isolate the term with x:
15 – 10 = 10 – 10 + 15x
This gives us:
5 = 15x
Step 3: Now, divide both sides by 15 to solve for x:
x = 5/15
Step 4: Simplifying this fraction, we get:
x = 1/3
Thus, the value of x that satisfies the original equation is 1/3.