Solve for x -2(x+4)+3x=x-8

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

Simplify $- 2 (x + 4) + 3 x$ .

Simplify each term.

Apply the distributive property.

$- 2 x - 2 \cdot 4 + 3 x = x - 8$

Multiply $- 2$ by $4$ .

$- 2 x - 8 + 3 x = x - 8$

Add $- 2 x$ and $3 x$ .

$x - 8 = x - 8$

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

Subtract $x$ from both sides of the equation.

$x - 8 - x = - 8$

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

Subtract $x$ from $x$ .

$0 - 8 = - 8$

Subtract $8$ from $0$ .

$- 8 = - 8$

Since $- 8 = - 8$ , the equation will always be true for any value of $x$ .

All real numbers

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$