There's a problem.
"Twice a number added to seven" could mean 2 * (x + 7) or it could mean 2x + 7
"Five less than five times the number" could mean 5x -5 or it could mean (5-5) * x
Without knowing which one you mean, we have four problems:
Problem 1:
2 * (x + 7) = 5x - 5
2x + 14 = 5x - 5
2x + 19 = 5x
19 = 3x
x = 19/3
.
Problem 2:
2x + 14 = (5-5) * x
2x + 14 = 0 * x
2x + 14 = 0
2x = -14
x = -7
.
Problem 3:
2x + 7 = 5x - 5
2x + 12 = 5x
12 = 3x
x = 4
.
Problem 4:
2x + 7 = (5-5) * x
2x + 7 = 0 * x
2x + 7 = 0
2x = -7
x = -7/2