Solve for x x+2(3x-1)=0

$x + 2 (3 x - 1) = 0$

Step 1

Simplify $x + 2 (3 x - 1)$ .

Simplify each term.

Apply the distributive property.

$x + 2 (3 x) + 2 \cdot - 1 = 0$

Multiply $3$ by $2$ .

$x + 6 x + 2 \cdot - 1 = 0$

Multiply $2$ by $- 1$ .

$x + 6 x - 2 = 0$

Add $x$ and $6 x$ .

$7 x - 2 = 0$

Step 2

Add $2$ to both sides of the equation.

$7 x = 2$

Step 3

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 $1$ .

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

Step 4

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$x = 0.\overline{285714}$