Class 8 Exam > Class 8 Questions > Solve: x = 4/5*(x+10)a)20b)10c)40d)30Correct ...
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Solve: x = 4/5*(x+10)
- a)20
- b)10
- c)40
- d)30
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Solve: x = 4/5*(x+10)a)20b)10c)40d)30Correct answer is option 'C'. Can...
x = 4/5*(x + 10)
=> x = 4x/5 + 8
=> x - 4x/5 = 8
=> (5x - 4x)/5 = 8
=> x = 8 * 5 = 40
Verification / Checking-
LHS = x = 40
RHS = 4/5*(x + 10) = 4/5*(40 + 10) = 4/5 * 50 = 40
Most Upvoted Answer
Solve: x = 4/5*(x+10)a)20b)10c)40d)30Correct answer is option 'C'. Can...
To solve the equation x = 4/5(x + 10), we need to isolate the variable x on one side of the equation.
**Step 1: Distribute the 4/5 to the terms inside the parentheses**
x = (4/5)x + (4/5)10
**Step 2: Simplify the equation**
x = (4/5)x + 40/5
**Step 3: Convert the fraction to a decimal**
x = (0.8)x + 8
**Step 4: Move the (0.8)x term to the other side of the equation**
x - (0.8)x = 8
**Step 5: Combine like terms**
0.2x = 8
**Step 6: Solve for x**
x = 8/0.2
**Step 7: Simplify the fraction**
x = 40
Therefore, the value of x that satisfies the equation x = 4/5(x + 10) is x = 40.
Hence, the correct answer is option C.
**Step 1: Distribute the 4/5 to the terms inside the parentheses**
x = (4/5)x + (4/5)10
**Step 2: Simplify the equation**
x = (4/5)x + 40/5
**Step 3: Convert the fraction to a decimal**
x = (0.8)x + 8
**Step 4: Move the (0.8)x term to the other side of the equation**
x - (0.8)x = 8
**Step 5: Combine like terms**
0.2x = 8
**Step 6: Solve for x**
x = 8/0.2
**Step 7: Simplify the fraction**
x = 40
Therefore, the value of x that satisfies the equation x = 4/5(x + 10) is x = 40.
Hence, the correct answer is option C.
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Community Answer
Solve: x = 4/5*(x+10)a)20b)10c)40d)30Correct answer is option 'C'. Can...
To solve the equation x = (4/5)(x + 10), we can use the distributive property to simplify the equation.
1. Distribute 4/5 to both terms inside the parentheses:
x = (4/5)(x) + (4/5)(10)
2. Simplify each term:
x = (4/5)x + (4/5)(10)
3. Multiply (4/5) by x:
x = (4/5)x + (4/5)(10)
x = (4/5)x + (4/5)(2)(5)
x = (4/5)x + (8/5)(5)
x = (4/5)x + 8
4. Subtract (4/5)x from both sides of the equation to isolate x:
x - (4/5)x = (4/5)x + 8 - (4/5)x
(1/5)x = 8
5. Multiply both sides of the equation by 5 to eliminate the fraction:
5(1/5)x = 8(5)
x = 40
Therefore, the solution to the equation x = (4/5)(x + 10) is x = 40. This matches option C.
1. Distribute 4/5 to both terms inside the parentheses:
x = (4/5)(x) + (4/5)(10)
2. Simplify each term:
x = (4/5)x + (4/5)(10)
3. Multiply (4/5) by x:
x = (4/5)x + (4/5)(10)
x = (4/5)x + (4/5)(2)(5)
x = (4/5)x + (8/5)(5)
x = (4/5)x + 8
4. Subtract (4/5)x from both sides of the equation to isolate x:
x - (4/5)x = (4/5)x + 8 - (4/5)x
(1/5)x = 8
5. Multiply both sides of the equation by 5 to eliminate the fraction:
5(1/5)x = 8(5)
x = 40
Therefore, the solution to the equation x = (4/5)(x + 10) is x = 40. This matches option C.
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Solve: x = 4/5*(x+10)a)20b)10c)40d)30Correct answer is option 'C'. Can you explain this answer? for Class 8 2025 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Solve: x = 4/5*(x+10)a)20b)10c)40d)30Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 8 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solve: x = 4/5*(x+10)a)20b)10c)40d)30Correct answer is option 'C'. Can you explain this answer?.
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