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

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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

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