1) 211x−511x - 511x−5 - 17x = 55Expand the left side:22x - 10 - 17x = 55Combine like terms:5x - 10 = 55Add 10 to both sides:5x = 65Divide by 5:x = 13
2) 58x+38x + 38x+3 - 12 = 83Expand the left side:40x + 15 - 12 = 83Combine like terms:40x + 3 = 83Subtract 3 from both sides:40x = 80Divide by 40:x = 2
Therefore, the solutions are:1) x = 132) x = 2
1) 211x−511x - 511x−5 - 17x = 55
Expand the left side:
22x - 10 - 17x = 55
Combine like terms:
5x - 10 = 55
Add 10 to both sides:
5x = 65
Divide by 5:
x = 13
2) 58x+38x + 38x+3 - 12 = 83
Expand the left side:
40x + 15 - 12 = 83
Combine like terms:
40x + 3 = 83
Subtract 3 from both sides:
40x = 80
Divide by 40:
x = 2
Therefore, the solutions are:
1) x = 13
2) x = 2