Answer :

Let's solve the equation [tex]\(\frac{3x}{6} + 1 = 7\)[/tex].

Here’s a step-by-step solution:

1. Simplify the Fraction:
The fraction [tex]\(\frac{3x}{6}\)[/tex] can be simplified. This fraction is the same as [tex]\(\frac{x}{2}\)[/tex] because 3 divided by 6 reduces to [tex]\(\frac{1}{2}\)[/tex].

2. Rewrite the Equation:
So, the equation now becomes:
[tex]\[
\frac{x}{2} + 1 = 7
\][/tex]

3. Isolate the Fraction:
Subtract 1 from both sides of the equation to isolate the fractional part:
[tex]\[
\frac{x}{2} = 6
\][/tex]

4. Solve for [tex]\(x\)[/tex]:
To eliminate the fraction, multiply both sides by 2:
[tex]\[
x = 6 \times 2
\][/tex]
[tex]\[
x = 12
\][/tex]

Therefore, the solution for [tex]\(x\)[/tex] is 12.

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Rewritten by : Barada