To solve the equation [tex]\( 5x - 22 = a - 2 \)[/tex], follow these steps:
1. Isolate the term involving [tex]\( x \)[/tex]:
[tex]\[
5x - 22 = a - 2
\][/tex]
2. Add 22 to both sides to eliminate the constant term on the left-hand side:
[tex]\[
5x - 22 + 22 = a - 2 + 22
\][/tex]
Simplifying the equation, we get:
[tex]\[
5x = a + 20
\][/tex]
3. Divide both sides by 5 to solve for [tex]\( x \)[/tex]:
[tex]\[
x = \frac{a + 20}{5}
\][/tex]
So, the solution to the equation [tex]\( 5x - 22 = a - 2 \)[/tex] is:
[tex]\[
x = \frac{a + 20}{5}
\][/tex]