Solve and check result: \(x = \frac{4}{5}(x+10)\)
Solution and Explanation
\(x = \frac{4}{5}(x+10)\)
Multiplying both sides by \(5\), we obtain
\(5x = 4(x + 10)\)
\(5x = 4x + 40\)
Transposing \(4x\) to L.H.S, we obtain
\(5x - 4x = 40\)
\(x = 40\)
\(\Rightarrow\) L.H.S = \(x = 40\)
\(\Rightarrow\) R.H.S = \(\frac{4}{5}(x+10)\)
= \(\frac{4}{5}(40+10)\)
= \(\frac{4}{5}×50 = 40\)
L.H.S. = R.H.S.
Hence, the result obtained above is correct.
Top Questions on Solving Equations having the Variable on both Sides
- Solve and check result: \(8x + 4 = 3(x - 1) + 7\)
- CBSE Class VIII
- Mathematics
- Solving Equations having the Variable on both Sides
- Solve and check result: \(2x - 1 = 14 - x\)
- CBSE Class VIII
- Mathematics
- Solving Equations having the Variable on both Sides
- Solve and check result: \(4z + 3 = 6 + 2z\)
- CBSE Class VIII
- Mathematics
- Solving Equations having the Variable on both Sides
- Solve and check result: \(5x + 9 = 5 + 3x\)
- CBSE Class VIII
- Mathematics
- Solving Equations having the Variable on both Sides
- Solve and check result: \(5t - 3 = 3t - 5\)
- CBSE Class VIII
- Mathematics
- Solving Equations having the Variable on both Sides
Questions Asked in CBSE Class VIII exam
- If wheat is sown in the kharif season, what would happen? Discuss.
- CBSE Class VIII
- Basic Practices of Crop Production
Fill in the blanks using the correct form of the verbs in brackets.
My little sister is very naughty. When she ____ (come) back from school yesterday, she had _____(tear) her dress. We _____(ask) her how it had _____(happen). She ______(say) she _____ _____ (have, quarrel) with a boy. She _____ _____ (have, beat) him in a race and he _____ ____ (have, try) to push her. She _____ ____ (have, tell) the teacher and so he _____ _____ (have, chase) her, and she _____ _____ (have, fall) down and _____ _____ (have, tear) her dress.
- CBSE Class VIII
- The Best Christmas Present in the world
- In the tsunami 150,000 people died. How many animals died?
- CBSE Class VIII
- The Tsunami
- When he felt the earthquake, do you think Ignesious immediately worried about a tsunami? Give reasons for your answer. Which sentence in the text tells you that the Ignesious family did not have any time to discuss and plan their course of action after the tsunami struck?
- CBSE Class VIII
- The Tsunami
- Subtract 4p2q – 3pq + 5pq2 – 8p + 7q – 10 from 18 – 3p – 11q + 5pq – 2pq2 + 5p2q
- CBSE Class VIII
- Addition and Subtraction of Algebraic Expressions