Respuesta :

no solutions would be correct so 0

Answer:

b. 0

Step-by-step explanation:

We have been given an equation [tex]5x-8(x+5)=6-3x[/tex]. We are asked to find the number of solutions for our given equation.

Let us solve our given equation. Using distributive property [tex]a(b+c)=ab+ac[/tex], we will get:

[tex]5x-8*x-8*5=6-3x[/tex]

[tex]5x-8x-40=6-3x[/tex]

[tex]-3x-40=6-3x[/tex]

Adding 3x on both sides of our equation, we will get:

[tex]-3x+3x-40=6-3x+3x[/tex]

[tex]-40=6[/tex]

Since both sides of our given equation are not equal, therefore, our given equation has no solution and option 'b' is the correct choice.