Question

1) 6(r +10) + 3(2r - 7) = - 45
2) 8t +4(t - 2) = - 2 - 6 (2t + 9)
3) 9 − 2(x + 4) − 10(25 − x + 4) = 5 − 3x − 4(x + 1)
4) -{7x + [-4x + (-2 + 4x)] - (5x + 1)} = 0
5) -{4x - [-2x - (3x + 6)]} = 4 - {-x + (2x - 1)}

Answer 1

1) 6(r +10) + 3(2r - 7) = - 45
    6r+60+6r-21=-45
    12r= -45-60+21
        r= -84/12
        r=-7
2) 8t +4(t - 2) = - 2 - 6 (2t + 9)
    8t+4t-8= -2 - 12t-54
    8t+4t+12t=-2+8-54
     24t=-48
     t=-48/24
     t= -2
3) 9 − 2(x + 4) − 10(25 − x + 4) = 5 − 3x − 4(x + 1)
     9-2x-8-250+10x-40= 5-3x-4x-4
     -2x+10x+3x+4x= 5-9+8+250+40-4
     15x=290
       x=290/15
       x=19.3
4) -{7x + [-4x + (-2 + 4x)] - (5x + 1)} = 0
    -{7x+[-4x-2+4x]-5x-1}=0
    -{7x-2-5x-1}=0
    -7x+2+5x+1=0
    -2x=-2-1
      x=-3/-2
      x=1.5
5) -{4x - [-2x - (3x + 6)]} = 4 - {-x + (2x - 1)}
    -{4x-[-2x-3x-6]}=4-{-x+2x-1}
    -{4x+2x+3x+6}=4+x-2x+1
     -4x-2x-3x-6=4+x-2x+1
     -4x-2x-3x-x+2x=4+6+1
      -8x=11
       x=11/-8