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Solve the equation and explain each step using appropriate Properties:

3(2x-7) - 4x = 19

a) x = 7

b) x = 8

c) x = 9

d) x = 10

User Setevoy
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1 Answer

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Final answer:

The equation 3(2x-7) - 4x = 19 simplifies to 2x - 21 = 19, and further to x = 20 after isolating x. This solution does not match any of the provided options, suggesting a problem with the question or answer choices. It is recommended to confirm the original problem or consult the source.

Step-by-step explanation:

Step-by-Step Solution

To solve the equation 3(2x-7) - 4x = 19, we need to simplify the algebra by distributing and combining like terms, then isolate the variable x.

Distribute 3 into the parenthesis: 3×2x - 3×7 = 6x - 21.

Combine the distributed terms with the rest of the equation: 6x - 21 - 4x = 19.

Combine like terms: 6x - 4x = 2x, so the equation now is 2x - 21 = 19.

Add 21 to both sides of the equation to get 2x = 19 + 21 which simplifies to 2x = 40.

Divide both sides by 2 to get x = 40/2 which simplifies to x = 20. However, this solution is not listed in the options provided (a through d), which indicates a mistake was intentionally included in the problem or there was a transcription error.

Since none of the answer choices match the solution, it may be worth double-checking with your teacher or the source of the problem.

Checking the Solution

Since our solution of x = 20 doesn't match any of the provided answer choices, we should check the original problem for any mistakes or consult the source for clarification.

User Gbengaoyetade
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