Solve for x: 2(3x - 4) = 3x + 2

Unlock all questions

This demo includes only 20 questions. Upgrade to access hundreds of questions, flashcards, exam simulations, and disable ads.

Full question bankExam simulationsFlashcards
From $9.99Unlock all

Study for the 8th Grade FAST Mathematics Pre-Algebra Test. Enhance your skills with interactive flashcards and multiple choice questions, each containing hints and explanations to boost your comprehension and readiness for the exam. Get ready to ace your test!

Multiple Choice

Solve for x: 2(3x - 4) = 3x + 2

Explanation:
Solving a linear equation is about isolating the variable. Start by distributing the 2 across the parentheses: 2(3x - 4) becomes 6x - 8, so the equation is 6x - 8 = 3x + 2. To get the x terms on one side, subtract 3x from both sides, giving 3x - 8 = 2. Then move the constant by adding 8 to both sides: 3x = 10. Finally, divide by 3 to isolate x: x = 10/3. A quick check by substitution shows both sides equal (left becomes 12, right becomes 12), so the solution works.

Solving a linear equation is about isolating the variable. Start by distributing the 2 across the parentheses: 2(3x - 4) becomes 6x - 8, so the equation is 6x - 8 = 3x + 2. To get the x terms on one side, subtract 3x from both sides, giving 3x - 8 = 2. Then move the constant by adding 8 to both sides: 3x = 10. Finally, divide by 3 to isolate x: x = 10/3. A quick check by substitution shows both sides equal (left becomes 12, right becomes 12), so the solution works.

More Multiple Choice Questions
Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy