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 getting the variable by itself on one side so you can see its value clearly. For 5x - 3 = 2x + 9, start by moving the x terms to one side: subtract 2x from both sides to get 3x - 3 = 9. Then get the constant terms on the opposite side by adding 3 to both sides, giving 3x = 12. Finally divide both sides by 3 to isolate x, so x = 4. Checking the solution by substituting back: 5(4) - 3 = 17 and 2(4) + 9 = 17, they match, confirming x = 4. The other values don’t balance the two sides when substituted, so they aren’t solutions.

Solving a linear equation means getting the variable by itself on one side so you can see its value clearly. For 5x - 3 = 2x + 9, start by moving the x terms to one side: subtract 2x from both sides to get 3x - 3 = 9. Then get the constant terms on the opposite side by adding 3 to both sides, giving 3x = 12. Finally divide both sides by 3 to isolate x, so x = 4. Checking the solution by substituting back: 5(4) - 3 = 17 and 2(4) + 9 = 17, they match, confirming x = 4. The other values don’t balance the two sides when substituted, so they aren’t solutions.

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