Solve for x 8-5x=2(x+3)

$8 - 5 x = 2 (x + 3)$

Step 1

Simplify $2 (x + 3)$ .

Rewrite.

$8 - 5 x = 0 + 0 + 2 (x + 3)$

Simplify by adding zeros.

$8 - 5 x = 2 (x + 3)$

Apply the distributive property.

$8 - 5 x = 2 x + 2 \cdot 3$

Multiply $2$ by $3$ .

$8 - 5 x = 2 x + 6$

Step 2

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

Subtract $2 x$ from both sides of the equation.

$8 - 5 x - 2 x = 6$

Subtract $2 x$ from $- 5 x$ .

$8 - 7 x = 6$

Step 3

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

Subtract $8$ from both sides of the equation.

$- 7 x = 6 - 8$

Subtract $8$ from $6$ .

$- 7 x = - 2$

Step 4

Divide each term in $- 7 x = - 2$ by $- 7$ and simplify.

Divide each term in $- 7 x = - 2$ by $- 7$ .

$\frac{- 7 x}{- 7} = \frac{- 2}{- 7}$

Simplify the left side.

Cancel the common factor of $- 7$ .

Cancel the common factor.

$\frac{- 7 x}{- 7} = \frac{- 2}{- 7}$

Divide $x$ by $1$ .

$x = \frac{- 2}{- 7}$

Simplify the right side.

Dividing two negative values results in a positive value.

$x = \frac{2}{7}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = \frac{2}{7}$

Decimal Form:

$x = 0.\overline{285714}$