Final answer:
To solve the equation, distribute the -2 on the right-hand side, combine like terms, and isolate the variable x by adding x and 2 to both sides. Simplify the equation to find that x equals 4/5 or 0.8.
Step-by-step explanation:
To solve the equation 9x - 2 = 3x -2 (2x-3), we first distribute the -2 on the right-hand side:
9x - 2 = 3x - 4x + 6
Next, we combine like terms on the right-hand side:
9x - 2 = -x + 6
Now, we add x to both sides and add 2 to both sides to isolate the variable x:
9x + x = 6 + 2
Finally, combine like terms:
10x = 8
Divide both sides by 10 to solve for x:
x = 8/10
x = 4/5 or 0.8