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

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Study for the 8th Grade Mathematics Test. Prepare with multiple choice questions, each with hints and explanations. Get ready for your exam!

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.

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