What is the answer to this equation?

a + 3 = 2a + 2

a=1

Step-by-step explanation:

a+3=2a+2

Take away 3 from both sides

a=2a-1

Take away 2a from both sides

-a=-1

Multiply by - 1

a=1

a + 3 = 2a + 2

move 2a to the other side

sign changes from + 2a to - 2a

a-2a+3 = 2a-2a + 2

a-2a+3=2

-a+3=2

move 3 to the other side

-a+3-3 = 2-3

-a = 2-3

-a = - 1

mutiply both sides by - 1 to get + a

(-1) (-a) = (-1) (-1)

Answer:

a = 1