UPSC Exam > UPSC Questions > Solve for x: x+9/28+x−4/3=5x−32/9−2x−3/35?
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Solve for x: x+9/28+x−4/3=5x−32/9−2x−3/35?
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Solve for x: x+9/28+x−4/3=5x−32/9−2x−3/35?
Given Equation:
x + 9/28 + x - 4/3 = 5x - 32/9 - 2x - 3/35
Simplify the Equation:
2x + 9/28 - 4/3 = 3x - 32/9 - 3/35
2x + 9/28 - 37/28 = 3x - 32/9 - 3/35
2x - 28/28 = 3x - 32/9 - 3/35
2x - 1 = 3x - 32/9 - 3/35
Combine Like Terms:
2x - 1 = 3x - 32/9 - 3/35
2x - 1 = 3x - (32*35 + 3*9)/(9*35)
2x - 1 = 3x - (1120 + 27)/315
2x - 1 = 3x - 1147/315
Bring x terms to one side and constants to the other:
2x - 3x = - 1 + 1147/315
-x = -315/315 + 1147/315
-x = 832/315
Solve for x:
x = -832/315
Therefore, x = -2.64
x + 9/28 + x - 4/3 = 5x - 32/9 - 2x - 3/35
Simplify the Equation:
2x + 9/28 - 4/3 = 3x - 32/9 - 3/35
2x + 9/28 - 37/28 = 3x - 32/9 - 3/35
2x - 28/28 = 3x - 32/9 - 3/35
2x - 1 = 3x - 32/9 - 3/35
Combine Like Terms:
2x - 1 = 3x - 32/9 - 3/35
2x - 1 = 3x - (32*35 + 3*9)/(9*35)
2x - 1 = 3x - (1120 + 27)/315
2x - 1 = 3x - 1147/315
Bring x terms to one side and constants to the other:
2x - 3x = - 1 + 1147/315
-x = -315/315 + 1147/315
-x = 832/315
Solve for x:
x = -832/315
Therefore, x = -2.64
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Solve for x: x+9/28+x−4/3=5x−32/9−2x−3/35?
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Solve for x: x+9/28+x−4/3=5x−32/9−2x−3/35? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Solve for x: x+9/28+x−4/3=5x−32/9−2x−3/35? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solve for x: x+9/28+x−4/3=5x−32/9−2x−3/35?.
Solve for x: x+9/28+x−4/3=5x−32/9−2x−3/35? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Solve for x: x+9/28+x−4/3=5x−32/9−2x−3/35? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solve for x: x+9/28+x−4/3=5x−32/9−2x−3/35?.
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