Algebra problem need help?

Question

{3[7(x-2)+4]-[2(2x-5)+6]}

Simplify this.

I keep getting 9x-14 but the book says its 9x-18.

Answer 1

so first simplify what's inside and then multiply by the three

and here is the solution step-by-step:

{3[7(x-2)+4]-[2(2x-5)+6]}

={3[(7x-14)+4]-[(4x-10)+6]}

={3[7x-14+4]-[4x-10+6]}

={3[7x-10]-[4x-4]} note how the -4 converts to +4 the next line

={3[7x-10-4x+4]}

={3[3x-6]}

=3[3x-6] = 9x-18

Answer 2

i also got  9x-14 ... maybe somthing is wrong with the book

hehehe

Answer 3

{ 21x -30 -[4x-4]} = 17 x - 26...how do you get, from your typed problem, 9x - 14?

Answer 4

{3[7(x-2)+4]-[2(2x-5)+6]}                 7(x-2) = 7x-14          2(2x-5) = 4x-10

{3[7x-14+4]-[4x-10+6]}                   -14+4 = -10               -10+6 = -4

{3[7x-10]-[4x-4]}                                3[7x-10] = 21x-30        3[4x-4] = 12x-12

[21x-30]-[12x-12]                              21x-12x = 9x             -30 - -12 = -18

9x-18

I hope u understand how I got this answer.