SOLUTION: Which value of x makes the following equation true? 7.5(x - 2) = -0.5x + 33 I am completely lost.... Thanks <3

Algebra ->  Equations -> SOLUTION: Which value of x makes the following equation true? 7.5(x - 2) = -0.5x + 33 I am completely lost.... Thanks <3      Log On


   

Question 869655: Which value of x makes the following equation true?
7.5(x - 2) = -0.5x + 33
I am completely lost....
Thanks <3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x to get


7.5(x - 2) = -0.5x + 33 ... Start with the given equation.


7.5(x)+7.5(-2) = -0.5x + 33 ... Distribute.


7.5x-15 = -0.5x + 33 ... Multiply.


7.5x = -0.5x + 33+15 ... Add 15 to both sides.


7.5x+0.5x = 33+15 ... Add 0.5x to both sides.


8x = 48 ... Combine like terms.


x = 48/8 ... Divide both sides by 8 to isolate x.


x = 6 ... Divide to get the final answer.


I recommend checking the answer. You do so by plugging it back into the original equation. You should get the same value on both sides (making a true equation)