Solve for x: 5x - 9 = 21.

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Multiple Choice

Solve for x: 5x - 9 = 21.

Explanation:
Solving a linear equation means isolating the variable by undoing the operations on it on both sides of the equation. Start by undoing the subtraction of 9: add 9 to both sides to get 5x = 30. Then undo the multiplication by 5 by dividing both sides by 5, giving x = 6. A quick check shows 5×6 − 9 = 30 − 9 = 21, which matches the right side. Other values don’t satisfy the equation: for example, x = 4 gives 5×4 − 9 = 20 − 9 = 11, not 21; x = 8 gives 40 − 9 = 31; x = 5 gives 25 − 9 = 16. Only x = 6 works.

Solving a linear equation means isolating the variable by undoing the operations on it on both sides of the equation. Start by undoing the subtraction of 9: add 9 to both sides to get 5x = 30. Then undo the multiplication by 5 by dividing both sides by 5, giving x = 6. A quick check shows 5×6 − 9 = 30 − 9 = 21, which matches the right side.

Other values don’t satisfy the equation: for example, x = 4 gives 5×4 − 9 = 20 − 9 = 11, not 21; x = 8 gives 40 − 9 = 31; x = 5 gives 25 − 9 = 16. Only x = 6 works.

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