Question

How many solutions does the equation have?

4x+2(x-3)=8x+12


A. one solution B. infinite solutions C. no solution

Answer 1

4x + 2x - 6 = 8x + 12
Distributive property

6x - 6 = 8x + 12
Combine like terms

(6x - 6x) - 6 = (8x - 6x) + 12
-6 = 2x + 12
Subtract

-6 - 12 = 2x (12 - 12)
-12 = 2x
Subtract again

-12/2 = 2x/2
Divide

-6 = x

One solution