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

Prepare for the FTCE Mathematics Grade 5-9 Test with targeted multiple choice questions and detailed explanations. Enhance your problem-solving skills and boost your confidence for the exam!

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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