To solve the equation [tex]\(5x + 3 = 28\)[/tex], you need to isolate the variable [tex]\(x\)[/tex]. Let's look at the equation step-by-step:
1. The equation we need to solve is:
[tex]\[
5x + 3 = 28
\][/tex]
2. The first step to isolate [tex]\(x\)[/tex] is to eliminate the constant term on the same side as [tex]\(x\)[/tex]. In this case, that constant term is [tex]\(3\)[/tex]. To do this, you need to perform the inverse operation of addition, which is subtraction.
3. Subtract [tex]\(3\)[/tex] from both sides of the equation. This will help to cancel out the [tex]\( + 3 \)[/tex] on the left side:
[tex]\[
5x + 3 - 3 = 28 - 3
\][/tex]
4. Simplifying this, we get:
[tex]\[
5x = 25
\][/tex]
Therefore, the first operation you should do to solve [tex]\(5x + 3 = 28\)[/tex] is to subtract [tex]\(3\)[/tex] from both sides of the equation.
