The values of x in the equations are: -3, 3, 15, 13 and -0.8
Question 6:
[tex]3(x - 7) - 3(2x - 4) = 4(x + 3)[/tex]
Open brackets
[tex]3x - 21 - 6x + 12 = 4x + 12[/tex]
Collect like terms
[tex]3x - 6x - 4x= 12 - 12+21[/tex]
[tex]-7x= 21[/tex]
Divide both sides by -7
[tex]x=-3[/tex]
Question 8:
[tex]8(x - 1) + 17(x - 3) = 4(4x - 9) + 4[/tex]
Open brackets
[tex]8x - 8 + 17x - 51 = 16x - 36 + 4[/tex]
Collect like terms
[tex]8x - 16x + 17x = 51+8- 36 + 4[/tex]
[tex]9x = 27[/tex]
Divide both sides by 9
[tex]x=3[/tex]
Question 10:
[tex]7(25 - x) -2x = 2(3x - 25)[/tex]
Open brackets
[tex]175 - 7x -2x = 6x - 50[/tex]
Collect like terms
[tex]- 7x -2x -6x= - 50-175[/tex]
[tex]-15x= -225[/tex]
Divide both sides by -15
[tex]x=15[/tex]
Question 12:
[tex]5x -17 + 3x - 5 = 6x -7-8x + 115[/tex]
Collect like terms
[tex]5x + 3x -6x +8x = -7 + 115+17+5[/tex]
[tex]10x = 130[/tex]
Divide both sides by 10
[tex]x = 13[/tex]
Question 14:
[tex]118 - 65x - 123 = 5x + 35 - 20x[/tex]
Collect like terms
[tex]20x - 65x - 5x =123 + 35 - 118[/tex]
[tex]-50x =40[/tex]
Divide both sides by -50
[tex]x =-0.8[/tex]
Hence, the values of x in the equations are: -3, 3, 15, 13 and -0.8
Read more about equations at:
https://brainly.com/question/2972832
