Step 1: Substitute the Value of x
To solve the expression 3(x-3)+5x+12 when x = -2, we start by substituting -2 into the expression:
- Replace x with -2 in the expression:
3(-2-3) + 5(-2) + 12
Step 2: Simplify the Expression
Now we will simplify the expression step by step:
- Calculate the term inside the parentheses:
-2 - 3 = -5
- Substitute back:
3(-5) + 5(-2) + 12
- Now calculate each term:
3 * -5 = -15
5 * -2 = -10
So, we now have:
-15 - 10 + 12
Step 3: Combine the Terms
Next, we will combine the values we computed:
- First, add -15 and -10:
-15 - 10 = -25
- Now add 12 to -25:
-25 + 12 = -13
Final Result
Thus, the final answer when x = -2 in the expression 3(x-3)+5x+12 is:
-13
This methodical approach helps in understanding how to manipulate and evaluate algebraic expressions efficiently!