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

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) (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)
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