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

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

Step 1

Simplify $9 (3 x + 6)$ .

Rewrite.

$0 + 0 + 9 (3 x + 6) = - (x - 2)$

Simplify by adding zeros.

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

Apply the distributive property.

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

Multiply.

Multiply $3$ by $9$ .

$27 x + 9 \cdot 6 = - (x - 2)$

Multiply $9$ by $6$ .

$27 x + 54 = - (x - 2)$

Step 2

Simplify $- (x - 2)$ .

Apply the distributive property.

$27 x + 54 = - x - - 2$

Multiply $- 1$ by $- 2$ .

$27 x + 54 = - x + 2$

Step 3

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

Add $x$ to both sides of the equation.

$27 x + 54 + x = 2$

Add $27 x$ and $x$ .

$28 x + 54 = 2$

Step 4

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

Subtract $54$ from both sides of the equation.

$28 x = 2 - 54$

Subtract $54$ from $2$ .

$28 x = - 52$

Step 5

Divide each term in $28 x = - 52$ by $28$ and simplify.

Divide each term in $28 x = - 52$ by $28$ .

$\frac{28 x}{28} = \frac{- 52}{28}$

Simplify the left side.

Cancel the common factor of $28$ .

Cancel the common factor.

$\frac{28 x}{28} = \frac{- 52}{28}$

Divide $x$ by $1$ .

$x = \frac{- 52}{28}$

Simplify the right side.

Cancel the common factor of $- 52$ and $28$ .

Factor $4$ out of $- 52$ .

$x = \frac{4 (- 13)}{28}$

Cancel the common factors.

Factor $4$ out of $28$ .

$x = \frac{4 \cdot - 13}{4 \cdot 7}$

Cancel the common factor.

$x = \frac{4 \cdot - 13}{4 \cdot 7}$

Rewrite the expression.

$x = \frac{- 13}{7}$

Move the negative in front of the fraction.

$x = - \frac{13}{7}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{13}{7}$

Decimal Form:

$x = - 1.\overline{857142}$

Mixed Number Form:

$x = - 1 \frac{6}{7}$

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

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