Solve - 6x + 19 = x-2. Check for extraneous solutions.

x=3 one solution

Step-by-step explanation:

Let's solve your equation step-by-step.

-6x+19=x-2

Step 1: Subtract x from both sides.

-6x+19-x=x-2-x

-7x+19=-2

Step 2: Subtract 19 from both sides.

-7x+19-19=-2-19

-7x=-21

Step 3: Divide both sides by - 7.

-7x / -7 = - 21 / -7

x=3

x = 3

Step-by-step explanation:

Solve - 6x + 19 = x-2

Solve for x:

19 - 6 x = x - 2

Subtract x from both sides:

19 + (-6 x - x) = (x - x) - 2

-6 x - x = - 7 x:

-7 x + 19 = (x - x) - 2

x - x = 0:

19 - 7 x = - 2

Subtract 19 from both sides:

(19 - 19) - 7 x = - 19 - 2

19 - 19 = 0:

-7 x = - 19 - 2

-19 - 2 = - 21:

-7 x = - 21

Divide both sides of - 7 x = - 21 by - 7:

(-7 x) / (-7) = (-21) / (-7)

(-7) / (-7) = 1:

x = (-21) / (-7)

The gcd of - 21 and - 7 is - 7, so (-21) / (-7) = (-7*3) / (-7*1) = (-7) / (-7) * 3 = 3:

Answer: x = 3