Question

1) 2x + 13 = x + 8

2) 4x + 11 = 17 - 2x
3) x + (12 - 3x) = 3 - (5 - x) 3
4) x/2 + 4 = 7
5) x/3 - 3/4 = 7/4
6) x + 4/5 = 3-x
7) 3x + 3/4 = x + 3/2

Answer 1

1) -5 = x

2) 1 = x

3) 4⅘ = x

4) 6 = x

5) 7½ = x

6) 1⅒ = x

7) ⅜ = x

Explanation:

7) 3x + ¾ = x + 3⁄2

- 3x - 3x

__________________

¾ = -2x + 3⁄2

-3⁄2 - 3⁄2

___________

-¾ = -2x

___ ____

-¾ -¾

`(3)/(8) = x`

6) x + ⅘ = 3 - x

- x - x

_______________

⅘ = 3 - 2x

-3 - 3

__________

-2⅕ = -2x

____ ___

-2 -2

`1 (1)/(10) = x`

5)

`(x)/(3) - (3)/(4) = (7)/(4) >> (4x)/(12) - (9)/(12) = (21)/(12) >> 7(1)/(2) = x`

4) ˣ⁄2 + 4 = 7

- 4 - 4

__________

ˣ⁄2 = 3

`6 = x`

3)

`x + (12 - 3x) = 3 - (5 - x)3 \\ \\ 12 - 2x = 3 - 15 + 3x >> 12 - 2x = -12 + 3x`

12 - 2x = -12 + 3x

- 3x - 3x

__________________

12 - 5x = -12

-12 - 12

_____________

-5x = -24

___ ___

-5 -5

`4 (4)/(5) = x`

2) 4x + 11 = 17 - 2x

- 4x - 4x

____________________

11 = 17 - 6x

-17 -17

____________

-6 = -6x

__ ___

-6 -6

`1 = x`

1) 2x + 13 = x + 8

- 2x - 2x

________________

13 = -x + 8

- 8 - 8

____________

5 = -x

`-5 = x`

I am joyous to assist you anytime.