Sure, let's solve the equation step by step:
The given equation is:
[tex]\[ 6x - 12 = 12 \][/tex]
1. Move the constant term from the left side to the right side.
To do this, add 12 to both sides of the equation:
[tex]\[ 6x - 12 + 12 = 12 + 12 \][/tex]
2. Simplify both sides of the equation:
On the left side:
[tex]\[ 6x \][/tex]
On the right side:
[tex]\[ 12 + 12 = 24 \][/tex]
So, the equation now is:
[tex]\[ 6x = 24 \][/tex]
3. Solve for [tex]\( x \)[/tex] by isolating it:
Divide both sides of the equation by 6 to get [tex]\( x \)[/tex] alone:
[tex]\[ x = \frac{24}{6} \][/tex]
4. Simplify the division:
[tex]\[ x = 4 \][/tex]
Thus, the solution is:
[tex]\[ x = 4 \][/tex]