Question

Resolva as equações 1° grau.
a) 2(x+4)+3(x-2)=4(x-8)
b) 3(x-2)-2(x+4)=x-9
c) 5(2x-4)+6(3x-6)=2(5x+9)
d) 4(x-2)-2(6x-1)=4(x-1)

Answer 1

a) 2(x+4)   +3(x-2)  =  4(x-8)
    2x +8     +3x-6    = 4x - 32
    2x +3x -4x = -32 -8 +6
    5x -4x = -40 +6
    x = -34

b) 3(x-2)  -2(x+4) = x-9
    3x -6    -2x -8   = x -9
    3x -2x -x = -9 +6 +8
    3x -3x = -9 + 14
         0    =  0

c) 5(2x-4)  +6(3x-6) = 2(5x+9)
    10x -20 +18x -36 = 10x +18
    10x +18x -10x = 18 +20 +36
    18x = 74
        x = 74/18
        x = 4,111.....

d) 4(x-2) -2(6x-1) = 4(x-1)
    4x -8   -12x +1 = 4x -4
    4x -12x -4x = -4 +8 -1
    -12x = 3
         x = 3/-12
         x = -1/4