UPSC Exam > UPSC Questions > Solve for x: 0.16(5x-2) =0.4x+7?
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Solve for x: 0.16(5x-2) =0.4x+7?
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Solve for x: 0.16(5x-2) =0.4x+7?
Solving the Equation
To solve the equation 0.16(5x-2) = 0.4x + 7, we will first distribute the 0.16 on the left side of the equation and simplify the expression. Then we will isolate x by moving all terms containing x to one side of the equation.
Distributing and Simplifying
0.16(5x-2) = 0.4x + 7
0.8x - 0.32 = 0.4x + 7
Moving Terms
Subtract 0.4x from both sides:
0.8x - 0.32 - 0.4x = 0.4x + 7 - 0.4x
0.4x - 0.32 = 7
Isolating x
Add 0.32 to both sides:
0.4x - 0.32 + 0.32 = 7 + 0.32
0.4x = 7.32
Divide by 0.4 on both sides:
x = 7.32 / 0.4
x = 18.3
Final Answer
Therefore, the solution to the equation 0.16(5x-2) = 0.4x + 7 is x = 18.3.
To solve the equation 0.16(5x-2) = 0.4x + 7, we will first distribute the 0.16 on the left side of the equation and simplify the expression. Then we will isolate x by moving all terms containing x to one side of the equation.
Distributing and Simplifying
0.16(5x-2) = 0.4x + 7
0.8x - 0.32 = 0.4x + 7
Moving Terms
Subtract 0.4x from both sides:
0.8x - 0.32 - 0.4x = 0.4x + 7 - 0.4x
0.4x - 0.32 = 7
Isolating x
Add 0.32 to both sides:
0.4x - 0.32 + 0.32 = 7 + 0.32
0.4x = 7.32
Divide by 0.4 on both sides:
x = 7.32 / 0.4
x = 18.3
Final Answer
Therefore, the solution to the equation 0.16(5x-2) = 0.4x + 7 is x = 18.3.
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Solve for x: 0.16(5x-2) =0.4x+7?
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Solve for x: 0.16(5x-2) =0.4x+7? 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: 0.16(5x-2) =0.4x+7? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solve for x: 0.16(5x-2) =0.4x+7?.
Solve for x: 0.16(5x-2) =0.4x+7? 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: 0.16(5x-2) =0.4x+7? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solve for x: 0.16(5x-2) =0.4x+7?.
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