Solve for x 6=2(x+8)-5x

$6 = 2 (x + 8) - 5 x$

Step 1

Rewrite the equation as $2 (x + 8) - 5 x = 6$ .

$2 (x + 8) - 5 x = 6$

Step 2

Simplify $2 (x + 8) - 5 x$ .

Simplify each term.

Apply the distributive property.

$2 x + 2 \cdot 8 - 5 x = 6$

Multiply $2$ by $8$ .

$2 x + 16 - 5 x = 6$

Subtract $5 x$ from $2 x$ .

$- 3 x + 16 = 6$

Step 3

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

Subtract $16$ from both sides of the equation.

$- 3 x = 6 - 16$

Subtract $16$ from $6$ .

$- 3 x = - 10$

Step 4

Divide each term in $- 3 x = - 10$ by $- 3$ and simplify.

Divide each term in $- 3 x = - 10$ by $- 3$ .

$\frac{- 3 x}{- 3} = \frac{- 10}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 x}{- 3} = \frac{- 10}{- 3}$

Divide $x$ by $1$ .

$x = \frac{- 10}{- 3}$

Simplify the right side.

Dividing two negative values results in a positive value.

$x = \frac{10}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = \frac{10}{3}$

Decimal Form:

$x = 3.\overline{3}$

Mixed Number Form:

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