To solve the equation [tex]\(\frac{1 - 3x}{5} = -7\)[/tex], follow these steps:
1. Multiply both sides of the equation by 5 to eliminate the fraction:
[tex]\[
5 \cdot \left(\frac{1 - 3x}{5}\right) = 5 \cdot (-7)
\][/tex]
Simplifying this, we get:
[tex]\[
1 - 3x = -35
\][/tex]
2. Subtract 1 from both sides to isolate the term with [tex]\(x\)[/tex]:
[tex]\[
1 - 3x - 1 = -35 - 1
\][/tex]
Simplifying this, we get:
[tex]\[
-3x = -36
\][/tex]
3. Thus, the quantity that should be subtracted from both sides to isolate the [tex]\(x\)[/tex]-term is 1.
So the step-by-step solution shows that:
[tex]\[
\begin{array}{rr}
1 - 3x = -35 \\
-1 & \quad 1 - 1 \\
\hline
\end{array}
\][/tex]
Therefore, the value that should be subtracted from both sides is [tex]\(\boxed{1}\)[/tex].
