Answer :

Sure! Let's solve the given equation step-by-step:

The equation we need to solve is:
[tex]\[ 0.20x + 0.35(70) = 38.5 \][/tex]

Step 1: Calculate the value of [tex]\(0.35 \times 70\)[/tex]

First, we find the value of the constant expression in the equation:

[tex]\[ 0.35 \times 70 = 24.5 \][/tex]

Step 2: Substitute the calculated value into the equation

Now that we have the value of [tex]\(0.35 \times 70\)[/tex], we substitute it back into the equation:

[tex]\[ 0.20x + 24.5 = 38.5 \][/tex]

Step 3: Isolate the term with [tex]\(x\)[/tex]

Next, we need to isolate the term which contains [tex]\(x\)[/tex]. We do this by subtracting 24.5 from both sides of the equation:

[tex]\[ 0.20x = 38.5 - 24.5 \][/tex]

[tex]\[ 0.20x = 14 \][/tex]

Step 4: Solve for [tex]\(x\)[/tex]

Finally, to solve for [tex]\(x\)[/tex], divide both sides of the equation by 0.20:

[tex]\[ x = \frac{14}{0.20} \][/tex]

[tex]\[ x = 70 \][/tex]

So, the solution is [tex]\( x = 70 \)[/tex].

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Rewritten by : Barada