Answer :
We start with the equation:
[tex]$$\frac{3x}{6} + 1 = 7.$$[/tex]
Step 1. Subtract 1 from both sides
Subtracting 1, we have:
[tex]$$\frac{3x}{6} = 7 - 1 = 6.$$[/tex]
Step 2. Multiply both sides by 6
To eliminate the denominator, multiply both sides by 6:
[tex]$$3x = 6 \times 6 = 36.$$[/tex]
Step 3. Divide both sides by 3
Now, solve for [tex]$x$[/tex] by dividing both sides by 3:
[tex]$$x = \frac{36}{3} = 12.$$[/tex]
Thus, the solution to the equation is:
[tex]$$\boxed{12}.$$[/tex]
[tex]$$\frac{3x}{6} + 1 = 7.$$[/tex]
Step 1. Subtract 1 from both sides
Subtracting 1, we have:
[tex]$$\frac{3x}{6} = 7 - 1 = 6.$$[/tex]
Step 2. Multiply both sides by 6
To eliminate the denominator, multiply both sides by 6:
[tex]$$3x = 6 \times 6 = 36.$$[/tex]
Step 3. Divide both sides by 3
Now, solve for [tex]$x$[/tex] by dividing both sides by 3:
[tex]$$x = \frac{36}{3} = 12.$$[/tex]
Thus, the solution to the equation is:
[tex]$$\boxed{12}.$$[/tex]
