Solve for x 8+6x-5x+2+2x=12

$8 + 6 x - 5 x + 2 + 2 x = 12$

Simplify $8 + 6 x - 5 x + 2 + 2 x$ .

Add $8$ and $2$ .

$6 x - 5 x + 10 + 2 x = 12$

Subtract $5 x$ from $6 x$ .

$x + 10 + 2 x = 12$

Add $x$ and $2 x$ .

$3 x + 10 = 12$

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

Subtract $10$ from both sides of the equation.

$3 x = 12 - 10$

Subtract $10$ from $12$ .

$3 x = 2$

Divide each term in $3 x = 2$ by $3$ and simplify.

Divide each term in $3 x = 2$ by $3$ .

$\frac{3 x}{3} = \frac{2}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{2}{3}$

Divide $x$ by $1$ .

$x = \frac{2}{3}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{2}{3}$

Decimal Form:

$x = 0.\overline{6}$