Question

Solve the following problems: 30 points
a. 5x + 3 – 4x – 8 = 6 + 9
b. 7x + 3 = 6(x – 1) + 9
c. x + 1/3 = 7/3
d. 4x + 2 = 3(x – 6) + 8
e. x/5 = 9
f. 3x/2 = x/5 – 39/5
g. 2x + 6 = 2(x + 4)

Answer 1

a
5x+3-4x-8 = 6+9
5x-4x = 6+9-3+8
x = 20

b
7x+3 = 6(x-1) + 9
7x+3 = 6x-6+9
7x-6x = 9-6-3
x = 0

c
x+(1/3) = 7/3
x = (7/3) - (1/3)
x = 6/3

d
4x+2 = 3(x-6)+8
4x+2 = 3x-18+8
4x-3x = 8-18-2
x = -12

e
x/5 = 9
x = 9*5
x = 45

f
3x/2 = (x/5) - (39/5)
(3x/2)-(x/5) = -39/5
(15x/10) - (2x/10) = -78/10
13x/10 = -78/10
13x = -78*10/10
13x = -78
x = -78/13
x = -6 

g
2x+6 = 2(x+4)
2x+6 = 2x+8
NO cumple la ecuación pues:
6≠8

Answer 2

Ohhhh Yes Yes I am Peruvian Pal Mundovian jajajajaja

a. 5x + 3 – 4x – 8 = 6 + 9
                     x - 5 = 15
                          x = 15 + 5
                          x = 20

b. 7x + 3 = 6(x – 1) + 9
    7x + 3 = 6x - 6 + 9
   7x - 6x = 3 - 3
            x = 0

c. x + 1/3 = 7/3
            x = 7/3 - 1/3
            x = (7 - 1)/3
            x = 6/3
            x = 2

d. 4x + 2 = 3(x – 6) + 8
    4x + 2 = 3x - 18 + 8
    4x - 3x = -10 - 2
             x = -12

e. x/5 = 9
        x = 5(9)
        x = 45


f.     3x/2 = x/5 – 39/5
     5(3x) = 2x - 2(39)
        15x = 2x - 78
 15x - 2x = -78
        13x = -78
            x = -78/13
            x = -6

g. 2x + 6 = 2(x + 4)
     2x + 6 = 2x + 8
    2x - 2x = 8 - 6
           0x = 2
             x = 2/0
             x = Indeterminado