Answer :

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]