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Solve for [tex]x[/tex].

[tex]3x + 2 + 5x = 197[/tex]

Answer :

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

The original equation is:

[tex]\[ 3x + 2 + 5x = 197 \][/tex]

1. Combine Like Terms

Combine the terms with [tex]\(x\)[/tex] on the left side:

[tex]\[ 3x + 5x = 8x \][/tex]

So, the equation becomes:

[tex]\[ 8x + 2 = 197 \][/tex]

2. Isolate the Variable Term

Move the constant term (2) to the other side by subtracting 2 from both sides:

[tex]\[ 8x + 2 - 2 = 197 - 2 \][/tex]

Simplifying, we have:

[tex]\[ 8x = 195 \][/tex]

3. Solve for [tex]\(x\)[/tex]

To isolate [tex]\(x\)[/tex], divide both sides of the equation by 8:

[tex]\[ x = \frac{195}{8} \][/tex]

When you do the division:

[tex]\[ x = 24.375 \][/tex]

So, the solution to the equation [tex]\(3x + 2 + 5x = 197\)[/tex] is [tex]\(x = 24.375\)[/tex].

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