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Solve the following equations using transposition matter and solution that question is 6 (3 x - 5) is = - 4 (6 - 4 x)?
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Solve the following equations using transposition matter and solution ...
Equation:
Given equation: 6(3x - 5) = -4(6 - 4x)
Solution:
Step 1: Expand the equation
6(3x) - 6(5) = -4(6) - (-4)(4x)
18x - 30 = -24 + 16x
Step 2: Simplify the equation
Combine like terms to get:
18x - 30 = 16x - 24
Step 3: Transpose the terms
To get all the x terms on one side and constants on the other side, we need to transpose the terms:
18x - 16x = -24 + 30
2x = 6
Step 4: Solve for x
Divide by 2 on both sides:
x = 3
Step 5: Check the solution
Substitute x = 3 back into the original equation to verify the solution:
6(3*3 - 5) = -4(6 - 4*3)
6(9 - 5) = -4(6 - 12)
6(4) = -4(-6)
24 = 24
Conclusion:
Therefore, the solution to the equation 6(3x - 5) = -4(6 - 4x) is x = 3.
Given equation: 6(3x - 5) = -4(6 - 4x)
Solution:
Step 1: Expand the equation
6(3x) - 6(5) = -4(6) - (-4)(4x)
18x - 30 = -24 + 16x
Step 2: Simplify the equation
Combine like terms to get:
18x - 30 = 16x - 24
Step 3: Transpose the terms
To get all the x terms on one side and constants on the other side, we need to transpose the terms:
18x - 16x = -24 + 30
2x = 6
Step 4: Solve for x
Divide by 2 on both sides:
x = 3
Step 5: Check the solution
Substitute x = 3 back into the original equation to verify the solution:
6(3*3 - 5) = -4(6 - 4*3)
6(9 - 5) = -4(6 - 12)
6(4) = -4(-6)
24 = 24
Conclusion:
Therefore, the solution to the equation 6(3x - 5) = -4(6 - 4x) is x = 3.
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Solve the following equations using transposition matter and solution that question is 6 (3 x - 5) is = - 4 (6 - 4 x)?
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Solve the following equations using transposition matter and solution that question is 6 (3 x - 5) is = - 4 (6 - 4 x)? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Solve the following equations using transposition matter and solution that question is 6 (3 x - 5) is = - 4 (6 - 4 x)? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solve the following equations using transposition matter and solution that question is 6 (3 x - 5) is = - 4 (6 - 4 x)?.
Solve the following equations using transposition matter and solution that question is 6 (3 x - 5) is = - 4 (6 - 4 x)? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Solve the following equations using transposition matter and solution that question is 6 (3 x - 5) is = - 4 (6 - 4 x)? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solve the following equations using transposition matter and solution that question is 6 (3 x - 5) is = - 4 (6 - 4 x)?.
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