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.
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.
