Solve for x 3x-2x+4=5x-4x-8

$3 x - 2 x + 4 = 5 x - 4 x - 8$

Subtract $2 x$ from $3 x$ .

$x + 4 = 5 x - 4 x - 8$

Subtract $4 x$ from $5 x$ .

$x + 4 = x - 8$

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

Subtract $x$ from both sides of the equation.

$x + 4 - x = - 8$

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

Subtract $x$ from $x$ .

$0 + 4 = - 8$

Add $0$ and $4$ .

$4 = - 8$

Since $4 \neq - 8$ , there are no solutions.

No solution