Solve each equation:
5 over 2x-5 minus 4/5= 1 over 2x-5
See the problem above and work it the same way.
Thank you I was able to do this problem.
To solve the given equation:
(5/(2x-5)) - (4/5) = (1/(2x-5))
Step 1: Simplify the equation by finding a common denominator on the left side. The common denominator is (2x-5) * 5.
(5 * 5) / ((2x-5) * 5) - (4 * (2x-5)) / ((2x-5) * 5) = (1/(2x-5))
Step 2: Combine the fractions on the left side of the equation.
(25 - 8x + 20) / (5 * (2x-5)) = (1/(2x-5))
Step 3: Multiply both sides of the equation by (5 * (2x-5)) to eliminate the denominators.
(25 - 8x + 20) = 1
Step 4: Combine like terms.
45 - 8x = 1
Step 5: Subtract 45 from both sides.
-8x = 1 - 45
-8x = -44
Step 6: Divide both sides by -8 to solve for x.
x = (-44) / (-8)
x = 5.5
Therefore, the solution to the equation is x = 5.5.