Solve for x: 3x + 7 = 22.

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Study for the BMS Mathematics Academic Team Test. Prepare with flashcards and multiple choice questions, each with hints and explanations. Elevate your math skills and ace your exam!

Multiple Choice

Solve for x: 3x + 7 = 22.

Explanation:
To find the value of x in the equation 3x + 7 = 22, we start by isolating the term with x. First, subtract 7 from both sides of the equation: 3x + 7 - 7 = 22 - 7, which simplifies to 3x = 15. Next, to solve for x, divide both sides by 3: 3x / 3 = 15 / 3, resulting in x = 5. Thus, the solution to the equation is x = 5, which corresponds to the correct answer. This process demonstrates the fundamental steps of solving a linear equation: isolating the variable by performing inverse operations in a systematic manner.

To find the value of x in the equation 3x + 7 = 22, we start by isolating the term with x.

First, subtract 7 from both sides of the equation:

3x + 7 - 7 = 22 - 7, which simplifies to 3x = 15.

Next, to solve for x, divide both sides by 3:

3x / 3 = 15 / 3, resulting in x = 5.

Thus, the solution to the equation is x = 5, which corresponds to the correct answer. This process demonstrates the fundamental steps of solving a linear equation: isolating the variable by performing inverse operations in a systematic manner.

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