-5x=11-2(4x-2)

To solve the equation -5x = 11 - 2(4x - 2), we start by distributing the -2 on the right side:

-5x = 11 - 8x + 4

Next, combine like terms by moving the x terms to one side:

-5x + 8x = 11 + 4

3x = 15

Finally, divide by 3 to solve for x:

x = 5

So, the solution to the equation -5x = 11 - 2(4x - 2) is x = 5.