Solve for x 21(2-x)+12x=44

$21 (2 - x) + 12 x = 44$

Step 1

Simplify $21 (2 - x) + 12 x$ .

Simplify each term.

Apply the distributive property.

$21 \cdot 2 + 21 (- x) + 12 x = 44$

Multiply $21$ by $2$ .

$42 + 21 (- x) + 12 x = 44$

Multiply $- 1$ by $21$ .

$42 - 21 x + 12 x = 44$

Add $- 21 x$ and $12 x$ .

$42 - 9 x = 44$

Step 2

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

Subtract $42$ from both sides of the equation.

$- 9 x = 44 - 42$

Subtract $42$ from $44$ .

$- 9 x = 2$

Step 3

Divide each term in $- 9 x = 2$ by $- 9$ and simplify.

Divide each term in $- 9 x = 2$ by $- 9$ .

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

Simplify the left side.

Cancel the common factor of $- 9$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Move the negative in front of the fraction.

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

Step 4

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$x = - 0.\overline{2}$