Simplify 3x-(4-2x+(x-9)+7x)

$3 x - (4 - 2 x + (x - 9) + 7 x)$

Step 1

Remove parentheses.

$3 x - (4 - 2 x + x - 9 + 7 x)$

Step 2

Simplify each term.

Subtract $9$ from $4$ .

$3 x - (- 2 x + x - 5 + 7 x)$

Add $- 2 x$ and $x$ .

$3 x - (- x - 5 + 7 x)$

Add $- x$ and $7 x$ .

$3 x - (6 x - 5)$

Apply the distributive property.

$3 x - (6 x) - - 5$

Multiply $6$ by $- 1$ .

$3 x - 6 x - - 5$

Multiply $- 1$ by $- 5$ .

$3 x - 6 x + 5$

$3 x - 6 x + 5$

Step 3

Subtract $6 x$ from $3 x$ .

$- 3 x + 5$

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