How many solutions does the equation have?

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

a.

one solution

b.

infinite solutions

c.

no solution

First we have to distribute the parentheses on the left side, 2*x is 2x and 2*-3 is -6, so now the equation is 4x+2x-6 = 8x+12
Then, we can add together the two x's on the left side,
so now we have 6x-6 = 8x+12       Subtract 12 from both sides and
you get 6x -18 = 8x    Then you can subtract 6x from both the sides and get
-18 = 2x  Now we can divide both sides by 2, and the final answer is -9 = x
Since they are not the same and the two sides aren't unequal, there is one solution(:
Hope this is helping you(: