Answer :

Answer:

There is no solution to this equation.

Step-by-step explanation:

Given the equation:

[tex]5p -6=2(p-3)-3(6-p)[/tex]

Solve for p.

First, distribute the parentheses.

[tex]5p-6=2p-6-18+3p[/tex]

Next, combine like terms.

[tex]5p-6=5p-24[/tex]

Isolate the variable (p).

[tex]5p - 5p=-24+6 \\0 = -18 \\[/tex]

This is not possible so there is no solution to the given equation.

Answer:

no solution

Step-by-step explanation:

5p-6=2(p-3) -3(6-p)

Distribute the 2 to each term in the parentheses and the 3 to each term inside the parentheses.

5p-6=2p-6 -18+3p

Combine like terms.

5p -6 = 5p -24

Subtract 5p from each side

5p -6-5p = 5p -5p -24

-6 = -24

This is not a true statement so there is no solution to this equation.