Answer :

To solve the equation [tex]\( 15 = \frac{x}{-2} + 7 \)[/tex], we need to find the value of [tex]\( x \)[/tex] that makes the equation true. Let's solve it step-by-step:

1. Isolate the fraction:
Begin by isolating the term with [tex]\( x \)[/tex] on one side of the equation. To do this, subtract 7 from both sides:
[tex]\[
15 - 7 = \frac{x}{-2}
\][/tex]
Simplifying the left side gives us:
[tex]\[
8 = \frac{x}{-2}
\][/tex]

2. Solve for [tex]\( x \)[/tex]:
To get [tex]\( x \)[/tex] by itself, we need to eliminate the fraction. Since [tex]\( x \)[/tex] is divided by -2, we do the opposite operation, which is to multiply both sides by -2:
[tex]\[
8 \times -2 = x
\][/tex]
Calculating the right side gives us:
[tex]\[
x = -16
\][/tex]

Therefore, the solution to the equation [tex]\( 15 = \frac{x}{-2} + 7 \)[/tex] is [tex]\( x = -16 \)[/tex].

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