If 5/2 - (6/5)(x - 15/2) = -x/5, then what is the value of x?
23/2
Step 1 — Clear fractions: multiply both sides by 10 (LCM of 2 and 5).
\[25 - 12\left(x - \tfrac{15}{2}\right) = -2x\]
Step 2 — Expand:
\[25 - 12x + 90 = -2x \implies 115 - 12x = -2x\]
Step 3 — Solve for x:
\[115 = 10x \implies x = \frac{23}{2}\]
Therefore x = 23/2.
Similar Questions
The sum of three fractions A, B, and C, A > B > C, is \(\frac{121}{60}\) . When C is divided by B, the resulting fraction is \(\frac{9}{10}\) , which exceeds A by \(\frac{3}{20}\) . What is the difference between B and C?
The sum of a fraction and 3 times its reciprocal is 19/4. What is the fraction?
The sum of a non-zero number and 9 times its reciprocal is 10. What is the number?
If 5/2(8x/3 – 1/2) + 13/2 = 2x/3, then what is the value of x?
If 7x - (3/2) × (4x - 9) = 6.5, then the value of x is?
Given that:
\(\frac{1}{{1 + \frac{1}{{1 + \frac{1}{{1 + \frac{1}{x}}}}}}} = \frac{5}{8}\)
then what is the value of x?
The sum of a non-zero number and 4 times its reciprocal is 17/2. What is the number?
A non-zero number is greater than 7 times its reciprocal by 9.3. What is the number?
If 7x - [3(2x - 3)]/2 = 1/2, then what is the value of x?
If [2(4x/5 - 3/4)]/3 - 5/3 = -1/6, then the value of x is?
Important Questions from Linear Equation in 1 Variable
If a school of fish weighs 3 kg and each fish in the school weighs 150g, then the number of fish in the school is____.
What should be subtracted from p and added to q so that the resulting ratio becomes 1 : 5?
The cost of a pen is five times the cost of a pencil. I bought 8 pens and 4 pencils for Rs. 132. Find the cost of 5 pens and 5 pencils.
Find the value of k, for which the system of equations kx + 3y = 26 and 21x + (k + 2)y = 71 + k has infinitely many solutions.
Shaan got a total of Rs. 912 in the denomination of equal numbers of Rs. 1, Rs. 5 and Rs. 10 coins. How many coins do Shaan possess?
