A + 2 = 5 + 4a what does a equal

a = - 1

Step-by-step explanation:

Solve for a:

a + 2 = 4 a + 5

Subtract 4 a from both sides:

(a - 4 a) + 2 = (4 a - 4 a) + 5

a - 4 a = - 3 a:

-3 a + 2 = (4 a - 4 a) + 5

4 a - 4 a = 0:

2 - 3 a = 5

Subtract 2 from both sides:

(2 - 2) - 3 a = 5 - 2

2 - 2 = 0:

-3 a = 5 - 2

5 - 2 = 3:

-3 a = 3

Divide both sides of - 3 a = 3 by - 3:

(-3 a) / (-3) = 3 / (-3)

(-3) / (-3) = 1:

a = 3 / (-3)

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

a = 1 / (-1)

1 / (-1) = - 1:

Answer: a = - 1