Solve for x 5x+12+3x=8x-5

$5 x + 12 + 3 x = 8 x - 5$

Add $5 x$ and $3 x$ .

$8 x + 12 = 8 x - 5$

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

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

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

Combine the opposite terms in $8 x + 12 - 8 x$ .

Subtract $8 x$ from $8 x$ .

$0 + 12 = - 5$

Add $0$ and $12$ .

$12 = - 5$

Since $12 \neq - 5$ , there are no solutions.

No solution