To solve the equation [tex]\(\frac{x}{-0.8} = 8.48\)[/tex] for the unknown variable [tex]\(x\)[/tex], follow these steps:
1. Understand the equation: You have the equation [tex]\(\frac{x}{-0.8} = 8.48\)[/tex], which states that [tex]\(x\)[/tex] divided by [tex]\(-0.8\)[/tex] equals [tex]\(8.48\)[/tex].
2. Isolate [tex]\(x\)[/tex]: To isolate the variable [tex]\(x\)[/tex], you need to eliminate the division by [tex]\(-0.8\)[/tex]. You can do this by multiplying both sides of the equation by [tex]\(-0.8\)[/tex]. This step is based on the principle that multiplying both sides of an equation by the same non-zero number will keep the equality true.
3. Multiply both sides by [tex]\(-0.8\)[/tex]:
[tex]\[
\left(\frac{x}{-0.8}\right) \times (-0.8) = 8.48 \times (-0.8)
\][/tex]
4. Simplify the left side: On the left side, the [tex]\(-0.8\)[/tex] in the numerator and denominator cancel out, leaving you with [tex]\(x\)[/tex]:
[tex]\[
x = 8.48 \times (-0.8)
\][/tex]
5. Calculate the right side: Now multiply [tex]\(8.48\)[/tex] by [tex]\(-0.8\)[/tex]:
[tex]\[
x = -6.784000000000001
\][/tex]
Thus, the solution to the equation [tex]\(\frac{x}{-0.8} = 8.48\)[/tex] is [tex]\(x = -6.784000000000001\)[/tex].
