Variables on both sides and parentheses

Work through it

Subtract $3 x$ : $2 x + 2 = 10$

Subtract 2: $2 x = 8$

$x = 4$

Distribute: $3 x - 6 - x = 2 x + 2 - 8$

Combine: $2 x - 6 = 2 x - 6$

Both sides match, so every number works. You'll see more of this soon.

Distribute: $8 x - 4 = 3 x + 6 + 5$

Combine: $8 x - 4 = 3 x + 11$

$5 x = 15$ , so $x = 3$

$- 2 (x - 3) = - 2 x - 6$

The $- 2$ multiplies both terms, and $(- 2) (- 3) = + 6$ . So it's $- 2 x + 6$ .

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