Sure, let's solve the equation step by step:
The equation given is:
[tex]\[ 3.7 + 0.4x = 0.5 \][/tex]
1. First, we need to isolate the term containing [tex]\(x\)[/tex]. To do this, subtract 3.7 from both sides of the equation:
[tex]\[ 0.4x = 0.5 - 3.7 \][/tex]
2. Now, perform the subtraction on the right side:
[tex]\[ 0.4x = -3.2 \][/tex]
3. Next, solve for [tex]\(x\)[/tex] by dividing both sides of the equation by 0.4:
[tex]\[ x = \frac{-3.2}{0.4} \][/tex]
4. Finally, perform the division to find the value of [tex]\(x\)[/tex]:
[tex]\[ x = -8.0 \][/tex]
Therefore,
[tex]\[ x = -8.0 \][/tex]
