To solve the equation [tex]\(-2x + 3 = -15\)[/tex] for [tex]\(x\)[/tex], follow these steps:
1. Isolate the term with [tex]\(x\)[/tex] on one side of the equation. To do that, first subtract 3 from both sides to keep the equation balanced:
[tex]\[
-2x + 3 - 3 = -15 - 3
\][/tex]
Simplifying both sides, we get:
[tex]\[
-2x = -18
\][/tex]
2. Next, divide both sides of the equation by [tex]\(-2\)[/tex] to solve for [tex]\(x\)[/tex]:
[tex]\[
\frac{-2x}{-2} = \frac{-18}{-2}
\][/tex]
This simplifies to:
[tex]\[
x = 9
\][/tex]
So, the value of [tex]\(x\)[/tex] that makes this equation true is [tex]\(x = 9\)[/tex].
