Question

Is -5 a solution to the equation for 6x + 5 = 5x + 8 + 2x? Explain?

Answer 1

For this case we have the following equation:

$6x + 5 = 5x + 8 + 2x$

We must find the solution.

We add similar terms from the right side of the equation:

$6x + 5 = 7x + 8$

We subtract 5 from both sides of the equation:

$6x = 7x + 8-5\\6x = 7x + 3$

We subtract 7x on both sides of the equation:

$6x-7x = 3$

Different signs are subtracted and the sign of the major is placed:

$-x = 3$

We multiply by -1 on both sides of the equation:$x = -3$

Thus, the solution of the equation is $x = -3$. -5 is not a solution to the equation.

Answer:

$x = -3$. -5 is not a solution to the equation