Solve for x: 2x + 7 = x + 21.

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Study for the 7th Grade Math Test. Explore interactive quizzes featuring multiple-choice questions, detailed hints, and explanations to enhance understanding. Boost your math skills and get ready for your exam efficiently!

Multiple Choice

Solve for x: 2x + 7 = x + 21.

Explanation:
Solving linear equations by isolating the variable is what this question tests. To get x by itself, subtract x from both sides: 2x + 7 = x + 21 becomes x + 7 = 21. Then subtract 7 from both sides to finish isolating x: x = 14. Quick check: substitute 14 back in to see both sides equal 35 (2·14 + 7 = 28 + 7 = 35, and 14 + 21 = 35). The value that satisfies the equation is 14.

Solving linear equations by isolating the variable is what this question tests. To get x by itself, subtract x from both sides: 2x + 7 = x + 21 becomes x + 7 = 21. Then subtract 7 from both sides to finish isolating x: x = 14. Quick check: substitute 14 back in to see both sides equal 35 (2·14 + 7 = 28 + 7 = 35, and 14 + 21 = 35). The value that satisfies the equation is 14.

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