Solve for x: 3x - 7 = 2x + 5.

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Multiple Choice

Solve for x: 3x - 7 = 2x + 5.

Explanation:
Isolating the variable by moving like terms to the other side is the idea here. From 3x - 7 = 2x + 5, subtract 2x from both sides to get x - 7 = 5. Then add 7 to both sides to isolate x, giving x = 12. Checking shows both sides equal: 3(12) - 7 = 29 and 2(12) + 5 = 29. Since a linear equation in one variable has a single solution, x = 12 is correct.

Isolating the variable by moving like terms to the other side is the idea here. From 3x - 7 = 2x + 5, subtract 2x from both sides to get x - 7 = 5. Then add 7 to both sides to isolate x, giving x = 12. Checking shows both sides equal: 3(12) - 7 = 29 and 2(12) + 5 = 29. Since a linear equation in one variable has a single solution, x = 12 is correct.

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