ok so I have to solve for x in this problem. and I have tried and tried to figure it out but I cant.
12(4x-2)=9(3x+2)
I distributed them but after that when I try to simplify im lost. can someone please help???
12(4x-2)=9(3x+2)
12*4x - 12*2 = 9*3x + 9*2
48x - 24 = 27x + 18
21x = 42
x = 2
check:
12(4*2-2) =? 9(3*2+2)
12(6) =? 9(8)
72 =? 72 YES!
THANK YOU SOOOOOOOOOO MUCH STEVE!!!!! YOU ARE A LIFE SAVER!!!
Of course! I can help you solve the equation step by step. To start, let's distribute the 12 on the left side of the equation and the 9 on the right side:
12(4x - 2) = 9(3x + 2)
This simplifies to:
48x - 24 = 27x + 18
Next, we can combine the like terms on each side of the equation. On the left side, we have 48x, and on the right side, we have 27x. We can subtract 27x from both sides to isolate the variable:
48x - 27x - 24 = 27x - 27x + 18
This simplifies to:
21x - 24 = 18
Now, let's isolate the variable by adding 24 to both sides of the equation:
21x - 24 + 24 = 18 + 24
This simplifies to:
21x = 42
Finally, we can solve for x by dividing both sides of the equation by 21:
(21x)/21 = 42/21
This simplifies to:
x = 2
So, the solution to the given equation is x = 2.