Solve for x: 2x - 3 = 7.

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Multiple Choice

Solve for x: 2x - 3 = 7.

Explanation:
Isolating the variable in a linear equation is what this question tests. To solve 2x - 3 = 7, undo the subtraction by adding 3 to both sides: 2x = 10. Then undo the multiplication by 2 by dividing both sides by 2: x = 5. You can check by plugging back in: 2(5) - 3 = 10 - 3 = 7, which matches the right side. This confirms the solution. If you try another value, the left side won’t equal 7—for example, using a value that gives 2x - 3 = 5 or 3 or 9 shows they don’t satisfy the equation, so 5 is the correct solution.

Isolating the variable in a linear equation is what this question tests. To solve 2x - 3 = 7, undo the subtraction by adding 3 to both sides: 2x = 10. Then undo the multiplication by 2 by dividing both sides by 2: x = 5. You can check by plugging back in: 2(5) - 3 = 10 - 3 = 7, which matches the right side. This confirms the solution. If you try another value, the left side won’t equal 7—for example, using a value that gives 2x - 3 = 5 or 3 or 9 shows they don’t satisfy the equation, so 5 is the correct solution.

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