2x+7=3x-2(3x-1)

To solve the equation 2x + 7 = 3x - 2(3x - 1), first distribute the -2 inside the parentheses:

2x + 7 = 3x - 6x + 2

Combine like terms on the right side of the equation:

2x + 7 = -3x + 2

Now, we want to isolate x. Let's add 3x to both sides of the equation:

2x + 7 + 3x = -3x + 2 + 3x 5x + 7 = 2

Next, subtract 7 from both sides:

5x + 7 - 7 = 2 - 7 5x = -5

Finally, divide by 5 to solve for x:

x = -1

Therefore, the solution to the equation 2x + 7 = 3x - 2(3x - 1) is x = -1.