To solve this equation, we first need to find a common denominator for all the fractions on the left side of the equation. The common denominator in this case is 14.
So, we rewrite the equation with a common denominator:
(2(3X-5))/14 + (2X+1)/14 = (7(2X-3))/14
Now we combine the fractions:
(6X - 10 + 2X + 1) / 14 = (14X - 21) / 14
Simplify the equation further:
8X - 9 = 14X - 21
Move all terms involving X to one side of the equation:
To solve this equation, we first need to find a common denominator for all the fractions on the left side of the equation. The common denominator in this case is 14.
So, we rewrite the equation with a common denominator:
(2(3X-5))/14 + (2X+1)/14 = (7(2X-3))/14
Now we combine the fractions:
(6X - 10 + 2X + 1) / 14 = (14X - 21) / 14
Simplify the equation further:
8X - 9 = 14X - 21
Move all terms involving X to one side of the equation:
8X - 14X = -21 + 9
Combine like terms:
-6X = -12
Divide by -6 to solve for X:
X = 2
Therefore, the solution to the equation is X = 2.