Certainly! Let's solve the equation [tex]\(-5x = 8x - 15\)[/tex] step-by-step.
1. Move all terms involving [tex]\(x\)[/tex] to one side of the equation:
[tex]\(-5x = 8x - 15\)[/tex]
To do this, subtract [tex]\(8x\)[/tex] from both sides:
[tex]\[
-5x - 8x = 8x - 15 - 8x
\][/tex]
Simplifying this yields:
[tex]\[
-13x = -15
\][/tex]
2. Solve for [tex]\(x\)[/tex] by isolating [tex]\(x\)[/tex]:
The equation now is [tex]\(-13x = -15\)[/tex]. To isolate [tex]\(x\)[/tex], we need to divide both sides by [tex]\(-13\)[/tex]:
[tex]\[
x = \frac{-15}{-13}
\][/tex]
Simplifying the fraction, we get:
[tex]\[
x = 1.1538461538461537
\][/tex]
So, the solution to the equation [tex]\(-5x = 8x - 15\)[/tex] is approximately [tex]\(x = 1.1538461538461537\)[/tex].
