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