Solve for x 16x-(3x-(6-9x))=30x+(-(3x+2)-(x+3))

$16 x - (3 x - (6 - 9 x)) = 30 x + (- (3 x + 2) - (x + 3))$

Simplify $16 x - (3 x - (6 - 9 x))$ .

Simplify each term.

Apply the distributive property.

$16 x - (3 x - 1 \cdot 6 - (- 9 x)) = 30 x - (3 x + 2) - (x + 3)$

Multiply $- 1$ by $6$ .

$16 x - (3 x - 6 - (- 9 x)) = 30 x - (3 x + 2) - (x + 3)$

Multiply $- 9$ by $- 1$ .

$16 x - (3 x - 6 + 9 x) = 30 x - (3 x + 2) - (x + 3)$

Add $3 x$ and $9 x$ .

$16 x - (12 x - 6) = 30 x - (3 x + 2) - (x + 3)$

Apply the distributive property.

$16 x - (12 x) - - 6 = 30 x - (3 x + 2) - (x + 3)$

Multiply $12$ by $- 1$ .

$16 x - 12 x - - 6 = 30 x - (3 x + 2) - (x + 3)$

Multiply $- 1$ by $- 6$ .

$16 x - 12 x + 6 = 30 x - (3 x + 2) - (x + 3)$

Subtract $12 x$ from $16 x$ .

$4 x + 6 = 30 x - (3 x + 2) - (x + 3)$

Simplify $30 x - (3 x + 2) - (x + 3)$ .

Simplify each term.

Apply the distributive property.

$4 x + 6 = 30 x - (3 x) - 1 \cdot 2 - (x + 3)$

Multiply $3$ by $- 1$ .

$4 x + 6 = 30 x - 3 x - 1 \cdot 2 - (x + 3)$

Multiply $- 1$ by $2$ .

$4 x + 6 = 30 x - 3 x - 2 - (x + 3)$

Apply the distributive property.

$4 x + 6 = 30 x - 3 x - 2 - x - 1 \cdot 3$

Multiply $- 1$ by $3$ .

$4 x + 6 = 30 x - 3 x - 2 - x - 3$

Simplify by adding terms.

Subtract $3 x$ from $30 x$ .

$4 x + 6 = 27 x - 2 - x - 3$

Subtract $x$ from $27 x$ .

$4 x + 6 = 26 x - 2 - 3$

Subtract $3$ from $- 2$ .

$4 x + 6 = 26 x - 5$

Move all terms containing $x$ to the left side of the equation.

Subtract $26 x$ from both sides of the equation.

$4 x + 6 - 26 x = - 5$

Subtract $26 x$ from $4 x$ .

$- 22 x + 6 = - 5$

Move all terms not containing $x$ to the right side of the equation.

Subtract $6$ from both sides of the equation.

$- 22 x = - 5 - 6$

Subtract $6$ from $- 5$ .

$- 22 x = - 11$

Divide each term in $- 22 x = - 11$ by $- 22$ and simplify.

Divide each term in $- 22 x = - 11$ by $- 22$ .

$\frac{- 22 x}{- 22} = \frac{- 11}{- 22}$

Simplify the left side.

Cancel the common factor of $- 22$ .

Cancel the common factor.

$\frac{- 22 x}{- 22} = \frac{- 11}{- 22}$

Divide $x$ by $1$ .

$x = \frac{- 11}{- 22}$

Simplify the right side.

Cancel the common factor of $- 11$ and $- 22$ .

Factor $- 11$ out of $- 11$ .

$x = \frac{- 11 (1)}{- 22}$

Cancel the common factors.

Factor $- 11$ out of $- 22$ .

$x = \frac{- 11 \cdot 1}{- 11 \cdot 2}$

Cancel the common factor.

$x = \frac{- 11 \cdot 1}{- 11 \cdot 2}$

Rewrite the expression.

$x = \frac{1}{2}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{1}{2}$

Decimal Form:

$x = 0.5$

Solve for x 16x-(3x-(6-9x))=30x+(-(3x+2)-(x+3))

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