What is the solution for x in the equation 3x + 7 = 25?

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Get ready for the FTCE Mathematics 5-9 exam with our quiz. Test your knowledge with flashcards and multiple choice questions, complete with hints and explanations. Prepare effectively and pass your test!

Multiple Choice

What is the solution for x in the equation 3x + 7 = 25?

Explanation:
To solve for \( x \) in the equation \( 3x + 7 = 25 \), the first step is to isolate the term containing \( x \). This is done by eliminating the constant on the left side of the equation. By subtracting 7 from both sides, the equation simplifies as follows: \[ 3x + 7 - 7 = 25 - 7 \] \[ 3x = 18 \] Next, to solve for \( x \), you need to divide both sides of the equation by 3: \[ x = \frac{18}{3} \] \[ x = 6 \] Thus, the solution for \( x \) is 6. This result aligns with the calculation steps showing how to isolate \( x \) properly, leading to the final answer. It reinforces the importance of correctly handling algebraic operations in equations.

To solve for ( x ) in the equation ( 3x + 7 = 25 ), the first step is to isolate the term containing ( x ). This is done by eliminating the constant on the left side of the equation. By subtracting 7 from both sides, the equation simplifies as follows:

[

3x + 7 - 7 = 25 - 7

]

[

3x = 18

]

Next, to solve for ( x ), you need to divide both sides of the equation by 3:

[

x = \frac{18}{3}

]

[

x = 6

]

Thus, the solution for ( x ) is 6. This result aligns with the calculation steps showing how to isolate ( x ) properly, leading to the final answer. It reinforces the importance of correctly handling algebraic operations in equations.

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