What is the value of x in the equation 5(x - 2) = 3x + 4?

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Question: What is the value of x in the equation 5(x - 2) = 3x + 4?

Options:

Correct Answer: -1

Solution:

Expanding gives 5x - 10 = 3x + 4. Rearranging gives 2x = 14, thus x = 7.

What is the value of x in the equation 5(x - 2) = 3x + 4?

What is the value of x in the equation 5(x - 2) = 3x + 4?

Step 1: Start with the equation 5(x - 2) = 3x + 4.
Step 2: Expand the left side by distributing 5: 5 * x - 5 * 2 = 5x - 10.
Step 3: Now the equation looks like this: 5x - 10 = 3x + 4.
Step 4: To get all the x terms on one side, subtract 3x from both sides: 5x - 3x - 10 = 4.
Step 5: This simplifies to 2x - 10 = 4.
Step 6: Next, add 10 to both sides to isolate the term with x: 2x - 10 + 10 = 4 + 10.
Step 7: This simplifies to 2x = 14.
Step 8: Finally, divide both sides by 2 to solve for x: 2x / 2 = 14 / 2.
Step 9: This gives x = 7.

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