Certainly! Let's solve the equation step-by-step:
Given equation:
[tex]\[ 2a - 3 = 5 \][/tex]
1. Transpose the constant term:
To isolate the term containing the variable [tex]\( a \)[/tex], we need to move the constant term [tex]\(-3\)[/tex] to the other side of the equation. We do this by adding 3 to both sides:
[tex]\[
2a - 3 + 3 = 5 + 3
\][/tex]
Simplifying both sides, we get:
[tex]\[
2a = 8
\][/tex]
2. Isolate the variable [tex]\( a \)[/tex]:
Now, we need to solve for [tex]\( a \)[/tex]. To do this, we divide both sides of the equation by 2:
[tex]\[
a = \frac{8}{2}
\][/tex]
Simplifying this, we get:
[tex]\[
a = 4
\][/tex]
3. Check the result:
To verify that our solution is correct, we substitute [tex]\( a = 4 \)[/tex] back into the original equation:
[tex]\[
2a - 3 = 5
\][/tex]
Substituting [tex]\( a = 4 \)[/tex]:
[tex]\[
2(4) - 3 = 5
\][/tex]
Simplifying the left side:
[tex]\[
8 - 3 = 5
\][/tex]
[tex]\[
5 = 5
\][/tex]
Since both sides of the equation are equal, our solution is confirmed to be correct.
Therefore, the value of [tex]\( a \)[/tex] is [tex]\( 4 \)[/tex].
