If 5x - 3 = 2x + 6, what is the value of x?

If 5x - 3 = 2x + 6, what is the value of x?

Correct Answer: 3

Step 1: Start with the equation 5x - 3 = 2x + 6.
Step 2: To get all the x terms on one side, subtract 2x from both sides. This gives you 5x - 2x - 3 = 6.
Step 3: Simplify the left side. 5x - 2x is 3x, so now you have 3x - 3 = 6.
Step 4: Next, add 3 to both sides to get rid of the -3. This gives you 3x = 6 + 3.
Step 5: Simplify the right side. 6 + 3 is 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 is 3, so x = 3.

Algebraic Equations – The question tests the ability to solve a linear equation by isolating the variable.
Transposition – It involves moving terms from one side of the equation to the other while maintaining equality.