Answer :
Final Answer
The value of x for which the equation 2x + 7 = 15 is true is x = 4, simply subtract 7 from both sides of the equation, yielding 2x = 8. Then, divide both sides by 2, giving you x = 4.
Explanation
To solve for x in the equation 2x + 7 = 15, you need to isolate x on one side of the equation. Start by subtracting 7 from both sides:
2x + 7 - 7 = 15 - 7
2x = 8
Now, to find the value of x, divide both sides of the equation by 2:
2x / 2 = 8 / 2
x = 4
Therefore, the value of x that satisfies the equation is x = 4. When you substitute x with 4 in the equation, you get 2(4) + 7 = 8 + 7 = 15, which confirms that the equation holds true.
Equations involving variables and constants are a fundamental concept in algebra. Solving equations like the one given involves performing operations to isolate the variable on one side.
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