solve algebraically to 2 decimal places : 3(x-2) = x

x 3

To solve the equation 3(x-2) = x algebraically, you need to simplify the equation and isolate the variable x on one side.

Let's start by distributing the 3 to the terms inside the parentheses:
3(x-2) = x
3x - 6 = x

Next, we can eliminate the x term from the right side by subtracting x from both sides:
3x - x - 6 = x - x
2x - 6 = 0

Now, to isolate the variable x, we need to get rid of the -6. We can do this by adding 6 to both sides of the equation:
2x - 6 + 6 = 0 + 6
2x = 6

Finally, to solve for x, divide both sides of the equation by 2:
2x/2 = 6/2
x = 3

Therefore, the solution to the equation 3(x-2) = x is x = 3.