Given: 3x + 1 = - 14; Prove: x = - 5

x = - 5

Step-by-step explanation:

Solve for x:

3 x + 1 = - 14

Subtract 1 from both sides:

3 x + (1 - 1) = - 14 - 1

1 - 1 = 0:

3 x = - 14 - 1

-14 - 1 = - 15:

3 x = - 15

Divide both sides of 3 x = - 15 by 3:

(3 x) / 3 = (-15) / 3

3/3 = 1:

x = (-15) / 3

The gcd of - 15 and 3 is 3, so (-15) / 3 = (3 (-5)) / (3*1) = 3/3*-5 = - 5:

Answer: x = - 5

Step-by-step explanation:

3x + 1 = - 14;

substr 1 : 3x+1-1 = - 14 - 1

3x = - 15

divid by 3

x = - 5