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Solve the following equation and check the result 4(3x - 2 )+ 5 x = 6 (2 x + 8 )- 12?
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Solve the following equation and check the result 4(3x - 2 )+ 5 x = 6 ...
Equation:
4(3x - 2) + 5x = 6(2x + 8) - 12
Solution:
Step 1: Expand the brackets
12x - 8 + 5x = 12x + 48 - 12
Step 2: Combine like terms
17x - 8 = 12x + 36
Step 3: Move variables to one side
17x - 12x = 36 + 8
5x = 44
Step 4: Solve for x
x = 44 / 5
x = 8.8
Checking the result:
4(3(8.8) - 2) + 5(8.8) = 6(2(8.8) + 8) - 12
4(26.4 - 2) + 44 = 6(17.6 + 8) - 12
4(24.4) + 44 = 6(25.6) - 12
97.6 + 44 = 153.6 - 12
141.6 = 141.6
Therefore, the solution x = 8.8 satisfies the original equation.
4(3x - 2) + 5x = 6(2x + 8) - 12
Solution:
Step 1: Expand the brackets
12x - 8 + 5x = 12x + 48 - 12
Step 2: Combine like terms
17x - 8 = 12x + 36
Step 3: Move variables to one side
17x - 12x = 36 + 8
5x = 44
Step 4: Solve for x
x = 44 / 5
x = 8.8
Checking the result:
4(3(8.8) - 2) + 5(8.8) = 6(2(8.8) + 8) - 12
4(26.4 - 2) + 44 = 6(17.6 + 8) - 12
4(24.4) + 44 = 6(25.6) - 12
97.6 + 44 = 153.6 - 12
141.6 = 141.6
Therefore, the solution x = 8.8 satisfies the original equation.
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Solve the following equation and check the result 4(3x - 2 )+ 5 x = 6 (2 x + 8 )- 12?
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Solve the following equation and check the result 4(3x - 2 )+ 5 x = 6 (2 x + 8 )- 12? 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 equation and check the result 4(3x - 2 )+ 5 x = 6 (2 x + 8 )- 12? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solve the following equation and check the result 4(3x - 2 )+ 5 x = 6 (2 x + 8 )- 12?.
Solve the following equation and check the result 4(3x - 2 )+ 5 x = 6 (2 x + 8 )- 12? 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 equation and check the result 4(3x - 2 )+ 5 x = 6 (2 x + 8 )- 12? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solve the following equation and check the result 4(3x - 2 )+ 5 x = 6 (2 x + 8 )- 12?.
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