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

To solve the equation 2x+7=3x-2(3x-1), we first need to simplify the right side by distributing the -2:

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

Now simplify further:

2x + 7 = -3x + 2

Combine like terms:

2x + 7 = -3x + 2

Add 3x to both sides to get all x terms on one side:

2x + 3x + 7 = 2

Combine like terms:

5x + 7 = 2

Subtract 7 from both sides:

5x = -5

Divide by 5:

x = -1

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