Solve for x 15-3x=5(x+4)-8x

$15 - 3 x = 5 (x + 4) - 8 x$

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

$5 (x + 4) - 8 x = 15 - 3 x$

Simplify $5 (x + 4) - 8 x$ .

Simplify each term.

Apply the distributive property.

$5 x + 5 \cdot 4 - 8 x = 15 - 3 x$

Multiply $5$ by $4$ .

$5 x + 20 - 8 x = 15 - 3 x$

Subtract $8 x$ from $5 x$ .

$- 3 x + 20 = 15 - 3 x$

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

Add $3 x$ to both sides of the equation.

$- 3 x + 20 + 3 x = 15$

Combine the opposite terms in $- 3 x + 20 + 3 x$ .

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

$0 + 20 = 15$

Add $0$ and $20$ .

$20 = 15$

Since $20 \neq 15$ , there are no solutions.

No solution