What is the value of x in the equation 5x - 3 = 2x + 6?

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Question: What is the value of x in the equation 5x - 3 = 2x + 6?

Options:

Correct Answer: 2

Solution:

Rearranging gives 5x - 2x = 6 + 3 => 3x = 9 => x = 3.

What is the value of x in the equation 5x - 3 = 2x + 6?

What is the value of x in the equation 5x - 3 = 2x + 6?

Step 1: Start with the equation 5x - 3 = 2x + 6.
Step 2: Move 2x from the right side to the left side by subtracting 2x from both sides. This gives you 5x - 2x - 3 = 6.
Step 3: Simplify the left side. 5x - 2x becomes 3x, so now you have 3x - 3 = 6.
Step 4: Next, move -3 to the right side by adding 3 to both sides. This gives you 3x = 6 + 3.
Step 5: Simplify the right side. 6 + 3 equals 9, so now you have 3x = 9.
Step 6: Finally, divide both sides by 3 to solve for x. This gives you x = 9 / 3.
Step 7: Simplify the division. 9 divided by 3 equals 3, so x = 3.

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