9x-6(x-1) =5(x+2)

9x - 6(x - 1) = 5(x + 2)

To solve this equation, you need to simplify and combine like terms. Let's start by distributing the -6 and 5 coefficients:

9x - 6x + 6 = 5x + 10

Next, combine like terms:

3x + 6 = 5x + 10

To isolate the variable x, we want to move all the x terms to one side and the constant terms to the other. Let's move the 3x term to the right side by subtracting 3x from both sides:

6 = 2x + 10

Now, let's move the constant term 10 to the left side by subtracting 10 from both sides:

-4 = 2x

Finally, divide both sides by 2 to solve for x:

-2 = x

Therefore, the solution to the equation is x = -2.