In order to determine which equations have the solution x = 7, replace this value of x into the equations and determine if the equation is correct, just as follow:
6(2x - 1) - 12 = -2(x + 10)
6(2(7) - 1) - 12 = -2(7 +10)
6(13) - 12 = -2(17)
66 = -34
the previous result is wrong, then x = 7 is not a solution
2(x + 7) = 28
2(7 + 7) = 28
2(14) = 28
28 = 28
the previous result is right, then x= 7 is a solution
60 = 4(x + 8)
60 = 4(7 + 8)
60 = 4(15)
60 = 60
the previous result is right, then x= 7 is a solution
3(x - 5) = 1 + 5(x-6)
3(7 - 5) = 1 + 5(x-6)
3(2) = 1 + 5(7-6)
6 = 1 + 5(1)
6 = 6
the previous result is right, then x= 7 is a solution