Question

Solve each equation. (would be nice if you could do work on a separate sheet of paper)

Answer 1

Explanation:

13) -10x = x -33

-10x - x = -33

-11x = -33

x = -33/-11

x =3

14)-10x - 11 = x - 33

-10x -x = -33 + 11

-11x = -22

x = -22/-11

x = 2

15) 4x + 4 = -3x - 17

4x + 3x = -17 -4

7x = - 21

x = -21/7

x = (-3)

16) 2x - 7 = 4x +12

2x - 4x = 12 + 7

-2x = 19

x = 19/-2

x = -19/2

17) 2x +7 = 4x +12

2x - 4x = 12 - 7

-2x = 5

x = 5/-2

x = -5/2

18) -2x +7 = -4x +12

-2x + 4x = 12 -7

2x = 5

x = 5/2

19) x + 5 = -3x -10

x + 3x = -10 - 5

4x = -15

x = -15/4

20) 15x +10 = 10x +10

15x - 10x = 10 - 10

5x = 0

x = 0

21)
`(-1)/(2)x` = -x + 3

-x = 2*(-x + 3)

-x = -2x + 6

-x + 2x = 6

x = 6

22)
`(3)/(4)x` = x - 3

3x = 4 * ( x - 3)

3x = 4*x - 4*3

3x = 4x - 12

3x - 4x = -12

-x = -12

x = -12/-1

x = 12

23)
`(2)/(3)x+1=(-1)/(3)x-1\\ (2)/(3)x+(1)/(3)x=-1-1\\ (3)/(3)x=-2\\ x=-2`

24)
`(1)/(2)x+4=(5)/(2)x+2\\(1)/(2)x-(5)/(2)x=2-4\\ (-4)/(2)x=-2\\-2x=-2\\x=(-2)/(-2)\\ x=1`