Solve for x: 2x - 5 = 3x + 1

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Prepare for the CCC Common Core Pre-Test with our comprehensive quiz. Utilize detailed flashcards and multiple-choice questions, each accompanied by insights and explanations, to enhance your readiness for the exam!

Multiple Choice

Solve for x: 2x - 5 = 3x + 1

Explanation:
To solve a linear equation, move the x terms to one side and the constants to the other. Subtract 2x from both sides to get -5 = x + 1. Then subtract 1 from both sides to isolate x, giving -6 = x, so x = -6. Checking: 2(-6) - 5 = -12 - 5 = -17 and 3(-6) + 1 = -18 + 1 = -17, which matches. Other values don’t satisfy the equation (for example, x = -7 gives -19 on the left and -20 on the right; x = 0 gives -5 vs 1; x = 6 gives 7 vs 19). The solution is x = -6.

To solve a linear equation, move the x terms to one side and the constants to the other. Subtract 2x from both sides to get -5 = x + 1. Then subtract 1 from both sides to isolate x, giving -6 = x, so x = -6. Checking: 2(-6) - 5 = -12 - 5 = -17 and 3(-6) + 1 = -18 + 1 = -17, which matches. Other values don’t satisfy the equation (for example, x = -7 gives -19 on the left and -20 on the right; x = 0 gives -5 vs 1; x = 6 gives 7 vs 19). The solution is x = -6.

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