To solve this equation, we need to first find a common denominator for the fractions on the right side of the equation.
5 and 4 have a common multiple of 20, so we can rewrite the equation as:
4X - 68 / 20 = 15X + 35 / 20 + 2
Next, we can simplify:
4X - 68 / 20 = 15X + 35 / 20 + 40 / 20
Combine like terms:
4X - 68 / 20 = 15X + 75 / 20
Then, we can find the LCD:
20 = 20
Now, set the fractions equal to each other:
4X - 68 = 15X + 75
Subtract 4X from both sides:
-68 = 11X + 75
Subtract 75 from both sides:
-143 = 11X
Divide by 11:
X = -13
Therefore, the solution is X = -13.
To solve this equation, we need to first find a common denominator for the fractions on the right side of the equation.
5 and 4 have a common multiple of 20, so we can rewrite the equation as:
4X - 68 / 20 = 15X + 35 / 20 + 2
Next, we can simplify:
4X - 68 / 20 = 15X + 35 / 20 + 40 / 20
Combine like terms:
4X - 68 / 20 = 15X + 75 / 20
Then, we can find the LCD:
20 = 20
Now, set the fractions equal to each other:
4X - 68 = 15X + 75
Subtract 4X from both sides:
-68 = 11X + 75
Subtract 75 from both sides:
-143 = 11X
Divide by 11:
X = -13
Therefore, the solution is X = -13.