Question

1. -2x + 8 = 2x + 4

2. 3x + 7 - 2x = 4x + 10
3. 4x + 8 = 3(x - 1) + 12
4. 7x - 2 = 9x + 10​

Answer 1

4.
`\displaystyle -6 = x`

3.
`\displaystyle 1 = x`

2.
`\displaystyle -1 = x`

1.
`\displaystyle 1 = x`

Explanation:

4. 7x - 2 = 9x + 10

- 9x + 2 - 9x + 2

_____________

`\displaystyle (12)/(-2) = (-2x)/(-2) \\ \\ -6 = x`

3. 4x + 8 = 3(x - 1) + 12

4x + 8 = 3x - 3 + 12

4x + 8 = 3x + 9

- 4x - 9 - 4x - 9

____________

`\displaystyle (-1)/(-1) = (-x)/(-1) \\ \\ 1 = x`

2. 3x + 7 - 2x = 4x + 10

x + 7 = 4x + 10

- 4x - 7 - 4x - 7

____________

`\displaystyle (3)/(-3) = (-3x)/(-3) \\ \\ -1 = x`

1. −2x + 8 = 2x + 4

- 2x - 8 - 2x - 8

____________

`\displaystyle (-4)/(-4) = (-4x)/(-4) \\ \\ 1 = x`

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