To solve the equation 2x + 15 = 6x + 9, we can follow these steps:
- Rearrange the equation: Start by moving all terms involving
xto one side of the equation and the constant terms to the other side. We can do this by subtracting2xfrom both sides:2x + 15 - 2x = 6x + 9 - 2x
This simplifies to:
15 = 4x + 9
- Isolate the
xterm: Next, we want to getxby itself. We can subtract9from both sides:15 - 9 = 4x + 9 - 9
Which simplifies to:
6 = 4x
- Divide to solve for
x: Now divide both sides by4to solve forx:x = 6 / 4
Simplifying that gives:
x = 3 / 2
or
x = 1.5.
So, the solution to the equation 2x + 15 = 6x + 9 is x = 1.5.