Five less than twice a number is equal to one half the difference of three times the number and 13

Number = x

Twice a number = 2x

Five less than twice a number = 2x-5

Three times the number = 3x

Difference of three times the number and 13 = 3x-13

One half the difference of three times the number and 13 = (1/2) (3x-13)

2x-5 = (1/2) (3x-13)

2x-5 = 3x/2-13/2

2x-5 = 3x/2-6.5

2x=3x/2-1.5

4x=3x-1.5

x=-1.5

Answer = - 1.5