Solve for x: 2x + 7 = 15.

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Multiple Choice

Solve for x: 2x + 7 = 15.

Explanation:
When solving a linear equation, the goal is to isolate the variable. For 2x + 7 = 15, undo the operations around x step by step. Subtract 7 from both sides to get 2x = 8. Then divide both sides by 2 to obtain x = 4. Check by substitution: 2(4) + 7 = 8 + 7 = 15, which matches the right side. So the value that satisfies the equation is 4. For other common guesses, you’d get results like 13, 17, or 19, which don’t equal 15, confirming 4 is the correct solution.

When solving a linear equation, the goal is to isolate the variable. For 2x + 7 = 15, undo the operations around x step by step. Subtract 7 from both sides to get 2x = 8. Then divide both sides by 2 to obtain x = 4. Check by substitution: 2(4) + 7 = 8 + 7 = 15, which matches the right side. So the value that satisfies the equation is 4. For other common guesses, you’d get results like 13, 17, or 19, which don’t equal 15, confirming 4 is the correct solution.

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