Question 53776
   3x - 5(3x -7) = 2(x+9) + 45

Distribute:   3x -5(3x) -5(-7) = 2(x) + 2(9) +45
simplify:     3x - 15x + 35 = 2x +18 + 45
combine like terms:  -12x + 35 = 2x + 63
add 12x to both sides:      35 = 2x + 12x + 63
combine like terms:         35 = 14x +63
subtract 63;             35 - 63 = 14x + 63 -63
simplify:                   -28 = 14x
divide by 14:                -2 = x

check:
  3(-2) - 5(3(-2)-7) = 2((-2)+9) + 45 ?
     -6 - 5(-6 - 7)  = 2( 7 ) + 45 ?
       -6  - 5( -13) = 14 + 45 ?
          -6 +  65   = 59 ?
                59   = 59