To solve the equation for [tex]\( x \)[/tex], we will follow a step-by-step approach:
1. Start with the given equation:
[tex]\[
3x + 2 = x + 28
\][/tex]
2. Isolate the [tex]\( x \)[/tex]-terms on one side. To do this, subtract [tex]\( x \)[/tex] from both sides of the equation:
[tex]\[
3x - x + 2 = x - x + 28
\][/tex]
Simplifying this:
[tex]\[
2x + 2 = 28
\][/tex]
3. Isolate the constant term on the other side. To do this, subtract 2 from both sides of the equation:
[tex]\[
2x + 2 - 2 = 28 - 2
\][/tex]
Simplifying this:
[tex]\[
2x = 26
\][/tex]
4. Solve for [tex]\( x \)[/tex] by dividing both sides by 2:
[tex]\[
x = \frac{26}{2}
\][/tex]
Simplifying this division:
[tex]\[
x = 13
\][/tex]
Thus, the solution for [tex]\( x \)[/tex] is:
[tex]\[
x = 13
\][/tex]
