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

$3 x + 6 = \frac{9 x - 3}{9}$

Step 1

Cancel the common factor of $9 x - 3$ and $9$ .

Factor $3$ out of $9 x$ .

$3 x + 6 = \frac{3 (3 x) - 3}{9}$

Factor $3$ out of $- 3$ .

$3 x + 6 = \frac{3 (3 x) + 3 (- 1)}{9}$

Factor $3$ out of $3 (3 x) + 3 (- 1)$ .

$3 x + 6 = \frac{3 (3 x - 1)}{9}$

Cancel the common factors.

Factor $3$ out of $9$ .

$3 x + 6 = \frac{3 (3 x - 1)}{3 (3)}$

Cancel the common factor.

$3 x + 6 = \frac{3 (3 x - 1)}{3 \cdot 3}$

Rewrite the expression.

$3 x + 6 = \frac{3 x - 1}{3}$

Step 2

Multiply both sides by $3$ .

$(3 x + 6) \cdot 3 = \frac{3 x - 1}{3} \cdot 3$

Step 3

Simplify.

Simplify the left side.

Simplify $(3 x + 6) \cdot 3$ .

Apply the distributive property.

$3 x \cdot 3 + 6 \cdot 3 = \frac{3 x - 1}{3} \cdot 3$

Multiply.

Multiply $3$ by $3$ .

$9 x + 6 \cdot 3 = \frac{3 x - 1}{3} \cdot 3$

Multiply $6$ by $3$ .

$9 x + 18 = \frac{3 x - 1}{3} \cdot 3$

Simplify the right side.

Cancel the common factor of $3$ .

Cancel the common factor.

$9 x + 18 = \frac{3 x - 1}{3} \cdot 3$

Rewrite the expression.

$9 x + 18 = 3 x - 1$

Step 4

Solve for $x$ .

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

Subtract $3 x$ from both sides of the equation.

$9 x + 18 - 3 x = - 1$

Subtract $3 x$ from $9 x$ .

$6 x + 18 = - 1$

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

Subtract $18$ from both sides of the equation.

$6 x = - 1 - 18$

Subtract $18$ from $- 1$ .

$6 x = - 19$

Divide each term in $6 x = - 19$ by $6$ and simplify.

Divide each term in $6 x = - 19$ by $6$ .

$\frac{6 x}{6} = \frac{- 19}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 x}{6} = \frac{- 19}{6}$

Divide $x$ by $1$ .

$x = \frac{- 19}{6}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{19}{6}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{19}{6}$

Decimal Form:

$x = - 3.1\overline{6}$

Mixed Number Form:

$x = - 3 \frac{1}{6}$

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

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