Middle School

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Solve for \( x \):

\[
\frac{1}{2}x + 7 - \frac{3}{4}x = 15
\]

Answer :

Final answer:

The equation 1/2x + 7 - 3/4x = 15 simplifies to x = -32 after doing the necessary algebraic manipulations such as combining like terms and eliminating fractions.

Explanation:

To solve the equation 1/2x + 7 - 3/4x = 15, we must first combine like terms and simplify the equation. The equation has different coefficients for x which must be combined by finding a common denominator, in this case, 4. Multiplying the entire equation by 4 to eliminate the fractions yields 2x + 28 - 3x = 60. Simplifying further, we combine the x terms to get -x + 28 = 60. Subtracting 28 from both sides results in -x = 32, and finally, by multiplying both sides by -1, we find that x = -32.

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Rewritten by : Barada

the answer is x=-32

when you combine 1/2x and -3/4x you get -1/4. Then you’d subtract sever from 15 leaving you with 8. 8 divided by -1/4 is -32