Question 145574: 3/4X-5=2/3X
Answer by vleith(2983)   (Show Source):
You can put this solution on YOUR website! Given 3X/4-5=2X/3
Clear the denominators by multiplying everything by 12 to get
12x - 60 = 8x
Simplifying
12X + -60 = 8X
Reorder the terms:
-60 + 12X = 8X
Solving
-60 + 12X = 8X
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '-8X' to each side of the equation.
-60 + 12X + -8X = 8X + -8X
Combine like terms: 12X + -8X = 4X
-60 + 4X = 8X + -8X
Combine like terms: 8X + -8X = 0
-60 + 4X = 0
Add '60' to each side of the equation.
-60 + 60 + 4X = 0 + 60
Combine like terms: -60 + 60 = 0
0 + 4X = 0 + 60
4X = 0 + 60
Combine like terms: 0 + 60 = 60
4X = 60
Divide each side by '4'.
X = 15
Simplifying
X = 15
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