1. 5x = 8x - 15 ; 5(5) = 8(5) - 15
8x - 5x = 15 ; 25 = 40 - 15
3x = 15 ; 25 = 25
x = 15 / 3
x = 5
3. 3x - (2x / 5) = (x / 10) - (7/4) ; 3(-7/10) - 2(-7/10) / 5 = (-7/10)/10 - 7/4
(15x - 2x) / 5 = (2x - 35) / (20) ; (-21/10) + (14/50) = (-7/100) - (7/4)
13x / 5 = (2x - 35) / 20 ; [(5)(-21) + 14] / 50 = [(-7) - (25)(7)]/(100)
(20/5)*(13x) = 2x - 35 ; (-105 + 14) / (50) = (-7 - 175) / (100)
4*(13x) = 2x - 35 ; (-91)/(50) * (100) = -182
52x = 2x - 35 ; (-91)(2) = (-182)
52x - 2x = -35 ; -182 = -182
50x = -35 ;
x = (-35)/(50)
x = (-7)/(10)
2. 4x + 1 = 2 - 7x ; 4(1/11) + 1 = 2 - 7(1/11)
4x + 7x = 2 - 1 ; (4/11) + 1 = 2 - (7/11)
11x = 1 ; (4 + 11) / 11 = (22 - 7) / 11
x = 1/11 ; 15 / 11 = 15 / 11
4. (3x)/(5) - (2x)/3 + 1/5 = 0 ; (3)(3)/5 - (2)(3)/3 + 1/5 = 0
(3*3x - 5*2x + 3*1) / (15) = 0 ; 9/5 - 2 + 1/ 5 = 0
9x - 10x + 3 = 0 ; (10/5) - 2 = 0
-x = -3 ; 2 - 2 = 0
x = 3 ; 0 = 0
5. (x / 6) + 5 = (1 / 3) - x ; (-4/6) + 5 = (1/3) - (-4)
[x + (5)(6) ] / 6 = (1 - 3x) / 3 ; (-2/3) + 5 =(1/3) + (4)
(x + 30) / 6 = (1 - 3x) / 3 ; (-2 + 15)/(3) = (1 + 12)/3
x + 30 = (1 - 3x) (6/3) ; (13/3) = (13/3)
x + 30 = (1 - 3x) (2)
x + 30 = 2 - 6x
6x + x = 2 - 30
7x = -28
x = (-28)/(7)
x = - 4
6. x - 1 + (2/12) = (5x/2) ; (-5/9) - 1 + (2/12) = 5*(-5/9) / 2
x - 1 + (1/6) = (5x / 2) ; (-5/9) - 1 + (1/6) = (-25/9)/2
(6x - 6 + 1)/6 = 5x/2 ; [(2)(-5) - 18 + (3)(1)] / (18) = (-25) / (18)
(6x - 5) = (5x)*(6/2) ; (-10 - 18 + 3) = -25
6x - 5 = (3)(5x) ; -25 = -25
6x - 5 = 15x ;
-5 = 15x - 6x ;
-5 = 9x ;
x = -5/9
