Answer :

Certainly! Let's solve the equation [tex]\(2a - 5 = 6\)[/tex] step-by-step.

1. Given Equation:
[tex]\[ 2a - 5 = 6 \][/tex]

2. Step 1: Isolate the term with the variable [tex]\(a\)[/tex]:

To isolate the term [tex]\(2a\)[/tex], we need to get rid of the constant term [tex]\(-5\)[/tex] on the left-hand side. We do this by adding 5 to both sides of the equation.
[tex]\[ 2a - 5 + 5 = 6 + 5 \][/tex]

Simplifying both sides, we get:
[tex]\[ 2a = 11 \][/tex]

3. Step 2: Solve for [tex]\(a\)[/tex]:

Now, we have to isolate [tex]\(a\)[/tex] by dividing both sides of the equation by 2.
[tex]\[ \frac{2a}{2} = \frac{11}{2} \][/tex]

Simplifying this, we find:
[tex]\[ a = \frac{11}{2} = 5.5 \][/tex]

So the value of [tex]\(a\)[/tex] that satisfies the equation [tex]\(2a - 5 = 6\)[/tex] is:
[tex]\[ a = 5.5 \][/tex]