Solve for x 2-4(1/9x)=-6

$2 - 4 (\frac{1}{9} x) = - 6$

Step 1

Simplify each term.

Combine $- 4$ and $\frac{1}{9}$ .

$2 + \frac{- 4}{9} \cdot x = - 6$

Move the negative in front of the fraction.

$2 - \frac{4}{9} \cdot x = - 6$

Combine $x$ and $\frac{4}{9}$ .

$2 - \frac{x \cdot 4}{9} = - 6$

Move $4$ to the left of $x$ .

$2 - \frac{4 x}{9} = - 6$

Step 2

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

Subtract $2$ from both sides of the equation.

$- \frac{4 x}{9} = - 6 - 2$

Subtract $2$ from $- 6$ .

$- \frac{4 x}{9} = - 8$

Step 3

Multiply both sides of the equation by $- \frac{9}{4}$ .

$- \frac{9}{4} (- \frac{4 x}{9}) = - \frac{9}{4} \cdot - 8$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Simplify $- \frac{9}{4} (- \frac{4 x}{9})$ .

Cancel the common factor of $9$ .

Move the leading negative in $- \frac{9}{4}$ into the numerator.

$\frac{- 9}{4} (- \frac{4 x}{9}) = - \frac{9}{4} \cdot - 8$

Move the leading negative in $- \frac{4 x}{9}$ into the numerator.

$\frac{- 9}{4} \cdot \frac{- 4 x}{9} = - \frac{9}{4} \cdot - 8$

Factor $9$ out of $- 9$ .

$\frac{9 (- 1)}{4} \cdot \frac{- 4 x}{9} = - \frac{9}{4} \cdot - 8$

Cancel the common factor.

$\frac{9 \cdot - 1}{4} \cdot \frac{- 4 x}{9} = - \frac{9}{4} \cdot - 8$

Rewrite the expression.

$\frac{- 1}{4} (- 4 x) = - \frac{9}{4} \cdot - 8$

Cancel the common factor of $4$ .

Factor $4$ out of $- 4 x$ .

$\frac{- 1}{4} (4 (- x)) = - \frac{9}{4} \cdot - 8$

Cancel the common factor.

$\frac{- 1}{4} (4 (- x)) = - \frac{9}{4} \cdot - 8$

Rewrite the expression.

$- - x = - \frac{9}{4} \cdot - 8$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 x = - \frac{9}{4} \cdot - 8$

Multiply $x$ by $1$ .

$x = - \frac{9}{4} \cdot - 8$

Simplify the right side.

Simplify $- \frac{9}{4} \cdot - 8$ .

Cancel the common factor of $4$ .

Move the leading negative in $- \frac{9}{4}$ into the numerator.

$x = \frac{- 9}{4} \cdot - 8$

Factor $4$ out of $- 8$ .

$x = \frac{- 9}{4} \cdot (4 (- 2))$

Cancel the common factor.

$x = \frac{- 9}{4} \cdot (4 \cdot - 2)$

Rewrite the expression.

$x = - 9 \cdot - 2$

Multiply $- 9$ by $- 2$ .

$x = 18$

Solve for x 2-4(1/9x)=-6

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