Solve for x: 3x − 5 = 2x + 6.
3x − 5 = 2x + 6.
x = 11
To solve for x in this equation, we need to isolate the variable x on one side of the equation.
Here's how to do that step-by-step:
1. Start with the given equation: 3x - 5 = 2x + 6.
2. Notice that we have x terms on both sides of the equation. To isolate x, we need to get rid of the 2x term on the right side. We can do this by subtracting 2x from both sides of the equation:
(3x - 5) - 2x = (2x + 6) - 2x.
Simplifying this equation gives us: x - 5 = 6.
3. Now, we need to isolate x by getting rid of the constant term (-5) on the left side of the equation. We do this by adding 5 to both sides of the equation:
(x - 5) + 5 = 6 + 5.
Simplifying further, we have: x = 11.
Therefore, the solution to the equation 3x - 5 = 2x + 6 is x = 11.