High School

Solve for [tex]$x$[/tex].

[tex]\frac{3x}{6} + 1 = 7[/tex]

A. [tex]x = 4[/tex]
B. [tex]x = 16[/tex]
C. [tex]x = 12[/tex]

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]