Here's how to solve the algebra problem 3x + 5 = 20 step-by-step:
Step 1: Isolate the term with the variable (3x).
To do this, we need to get rid of the +5 on the left side of the equation. We perform the opposite operation, which is subtraction. Whatever we do to one side of the equation, we must do to the other side to keep the equation balanced.
3x + 5 - 5 = 20 - 5
3x = 15
Step 2: Isolate the variable (x).
Now we have 3x = 15. The '3' is being multiplied by 'x'. To undo multiplication, we perform the opposite operation, which is division. Again, we do this to both sides of the equation.
3x / 3 = 15 / 3
x = 5
Step 3: Check your answer (optional but recommended).
Substitute the value of x (5) back into the original equation to make sure both sides are equal.
3(5) + 5 = 20
15 + 5 = 20
20 = 20
Since both sides are equal, our solution is correct.
Therefore, x = 5.