Answer:
x = 83
Step-by-step explanation:
You know that half of 3x-9 is x+37. That means 2(x+37) = 3x-9. Solve the left side of the equation. You will get 2x+74. Now the whole equation is 2x+74=3x-9. Well, move the like terms to each of their sides. You will now have 74+9 = 3x-2x. Simplify and you will get 83 = x.
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Answer:
x=83
Step-by-step explanation:
Since we know that half of 3x-9 is x+37, that's the same as saying the double of x+37 or 2(x+37) is equal to 3x-9. So, we can write this equation: 3x-9=2(x+37). Now, all we have to do is use simple algebra to solve the problem:
Steps Justification
3x-9=2(x+37) Original Equation
3x-9=2x+74 Distributive Property of Equality
x-9=74 Subtraction Property of Equality (Subtract 2x from both sides)
x=83 Addition Property of Equality (Add 9 to both sides)
Hope this helps!! :)
