Let's solve the equation step by step.
Given equation:
[tex]\[
\frac{0.2x + 1}{0.1} = 4
\][/tex]
Step 1: Eliminate the fraction by multiplying both sides of the equation by 0.1 to clear the denominator:
[tex]\[
(0.2x + 1) \times \frac{1}{0.1} \times 0.1 = 4 \times 0.1
\][/tex]
Simplifying both sides, we get:
[tex]\[
0.2x + 1 = 0.4
\][/tex]
Step 2: Isolate the term with [tex]\(x\)[/tex]. Subtract 1 from both sides of the equation:
[tex]\[
0.2x + 1 - 1 = 0.4 - 1
\][/tex]
Simplifying this, we get:
[tex]\[
0.2x = -0.6
\][/tex]
Step 3: Solve for [tex]\(x\)[/tex] by dividing both sides of the equation by 0.2:
[tex]\[
x = \frac{-0.6}{0.2}
\][/tex]
Upon simplifying the division, we find:
[tex]\[
x = -2.9999999999999996
\][/tex]
So the value of [tex]\(x\)[/tex] is approximately [tex]\(-3\)[/tex].
