Solve for x 8x-6=4x+8x+12

$8 x - 6 = 4 x + 8 x + 12$

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$4 x + 8 x + 12 = 8 x - 6$

Add $4 x$ and $8 x$ .

$12 x + 12 = 8 x - 6$

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

Subtract $8 x$ from both sides of the equation.

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

Subtract $8 x$ from $12 x$ .

$4 x + 12 = - 6$

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

Subtract $12$ from both sides of the equation.

$4 x = - 6 - 12$

Subtract $12$ from $- 6$ .

$4 x = - 18$

Divide each term in $4 x = - 18$ by $4$ and simplify.

Divide each term in $4 x = - 18$ by $4$ .

$\frac{4 x}{4} = \frac{- 18}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} = \frac{- 18}{4}$

Divide $x$ by $1$ .

$x = \frac{- 18}{4}$

Simplify the right side.

Cancel the common factor of $- 18$ and $4$ .

Factor $2$ out of $- 18$ .

$x = \frac{2 (- 9)}{4}$

Cancel the common factors.

Factor $2$ out of $4$ .

$x = \frac{2 \cdot - 9}{2 \cdot 2}$

Cancel the common factor.

$x = \frac{2 \cdot - 9}{2 \cdot 2}$

Rewrite the expression.

$x = \frac{- 9}{2}$

Move the negative in front of the fraction.

$x = - \frac{9}{2}$

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{9}{2}$

Decimal Form:

$x = - 4.5$

Mixed Number Form:

$x = - 4 \frac{1}{2}$