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!! :)