Final answer:
To solve for x in the equation 5x - 2 = 4x - 9, subtract 4x from both sides to eliminate the x term from one side of the equation, then add 2 to both sides to isolate the x term.
Step-by-step explanation:
To solve for x in the equation 5x - 2 = 4x - 9, we need to isolate x on one side of the equation. We can start by subtracting 4x from both sides to eliminate the x term from one side of the equation:
5x - 4x - 2 = - 9
Simplifying further, we have:
x - 2 = -9
Next, we can add 2 to both sides of the equation to isolate the x term:
x - 2 + 2 = -9 + 2
Simplifying further, we get:
x = -7