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]
