Solve for x -6x+9=4(5-x)

$- 6 x + 9 = 4 (5 - x)$

Step 1

Simplify $4 (5 - x)$ .

Rewrite.

$- 6 x + 9 = 0 + 0 + 4 (5 - x)$

Simplify by adding zeros.

$- 6 x + 9 = 4 (5 - x)$

Apply the distributive property.

$- 6 x + 9 = 4 \cdot 5 + 4 (- x)$

Multiply.

Multiply $4$ by $5$ .

$- 6 x + 9 = 20 + 4 (- x)$

Multiply $- 1$ by $4$ .

$- 6 x + 9 = 20 - 4 x$

Step 2

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

Add $4 x$ to both sides of the equation.

$- 6 x + 9 + 4 x = 20$

Add $- 6 x$ and $4 x$ .

$- 2 x + 9 = 20$

Step 3

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

Subtract $9$ from both sides of the equation.

$- 2 x = 20 - 9$

Subtract $9$ from $20$ .

$- 2 x = 11$

Step 4

Divide each term in $- 2 x = 11$ by $- 2$ and simplify.

Divide each term in $- 2 x = 11$ by $- 2$ .

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

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Move the negative in front of the fraction.

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

Step 5

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$x = - 5.5$

Mixed Number Form:

$x = - 5 \frac{1}{2}$

Solve for x -6x+9=4(5-x)

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