Solve for x -2(x+4)+6x=4(x-3)

$- 2 (x + 4) + 6 x = 4 (x - 3)$

Simplify $- 2 (x + 4) + 6 x$ .

Simplify each term.

Apply the distributive property.

$- 2 x - 2 \cdot 4 + 6 x = 4 (x - 3)$

Multiply $- 2$ by $4$ .

$- 2 x - 8 + 6 x = 4 (x - 3)$

Add $- 2 x$ and $6 x$ .

$4 x - 8 = 4 (x - 3)$

Simplify $4 (x - 3)$ .

Apply the distributive property.

$4 x - 8 = 4 x + 4 \cdot - 3$

Multiply $4$ by $- 3$ .

$4 x - 8 = 4 x - 12$

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

Subtract $4 x$ from both sides of the equation.

$4 x - 8 - 4 x = - 12$

Combine the opposite terms in $4 x - 8 - 4 x$ .

Subtract $4 x$ from $4 x$ .

$0 - 8 = - 12$

Subtract $8$ from $0$ .

$- 8 = - 12$

Since $- 8 \neq - 12$ , there are no solutions.

No solution