Solve for x: 5x − 3 = 2x + 9.

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Multiple Choice

Solve for x: 5x − 3 = 2x + 9.

Explanation:
Solving a linear equation means isolating the variable by moving terms from one side to the other while keeping the equality intact. Start with 5x − 3 = 2x + 9. Subtract 2x from both sides to gather the x terms on one side: 3x − 3 = 9. Then add 3 to both sides to isolate the term with x: 3x = 12. Finally, divide both sides by 3 to solve for x: x = 4. Checking the solution: substitute back, 5(4) − 3 = 20 − 3 = 17 and 2(4) + 9 = 8 + 9 = 17, which match. So x equals 4.

Solving a linear equation means isolating the variable by moving terms from one side to the other while keeping the equality intact. Start with 5x − 3 = 2x + 9. Subtract 2x from both sides to gather the x terms on one side: 3x − 3 = 9. Then add 3 to both sides to isolate the term with x: 3x = 12. Finally, divide both sides by 3 to solve for x: x = 4. Checking the solution: substitute back, 5(4) − 3 = 20 − 3 = 17 and 2(4) + 9 = 8 + 9 = 17, which match. So x equals 4.

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