What is the value of x in the equation 4(x - 2) = 3(x + 1)?

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Question: What is the value of x in the equation 4(x - 2) = 3(x + 1)?

Options:

Correct Answer: 1

Solution:

Expanding both sides gives 4x - 8 = 3x + 3. Subtract 3x from both sides: x - 8 = 3. Adding 8 gives x = 11.

What is the value of x in the equation 4(x - 2) = 3(x + 1)?

What is the value of x in the equation 4(x - 2) = 3(x + 1)?

Step 1: Start with the equation 4(x - 2) = 3(x + 1).
Step 2: Expand the left side: 4 times (x - 2) becomes 4x - 8.
Step 3: Expand the right side: 3 times (x + 1) becomes 3x + 3.
Step 4: Now the equation looks like this: 4x - 8 = 3x + 3.
Step 5: To get all the x terms on one side, subtract 3x from both sides: 4x - 3x - 8 = 3.
Step 6: This simplifies to x - 8 = 3.
Step 7: Now, to isolate x, add 8 to both sides: x - 8 + 8 = 3 + 8.
Step 8: This simplifies to x = 11.

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