Solve the equation filling in the steps: 2(x−3)+21=−3

Question

(6 points)

Distribute to get Response area

Combine like terms to get Response area

Use the (choose a property) Response area to get (resulting equation) Response area

Use the (choose a property) Response area to get (resulting answer) Response area

The option "Division Property of Equality" (7 of 14) has been selected. Press tab to choose a response area, and spacebar to insert it. Press escape to cancel.

Answer 1

Let's solve the equation step by step:

Given equation: $$2(x-3)+21=-3$$

Step 1: Distribute

We need to distribute the 2 across the terms inside the parentheses. $$2(x)-2(3)+21=-3$$ This simplifies to: $$2x-6+21=-3$$

Step 2: Combine like terms

Now, combine like terms on the left side: $$2x+(-6+21)=-3$$ This simplifies to: $$2x+15=-3$$

Step 3: Use the Subtraction Property of Equality

To isolate the term with x, we subtract 15 from both sides: $$2x+15-15=-3-15$$ This results in: $$2x=-18$$

Step 4: Use the Division Property of Equality

Next, we divide both sides by 2 to solve for x: $$\frac{2x}{2}=\frac{-18}{2}$$ This simplifies to: $$x=-9$$

Final Answer

The solution to the equation is: $$x=-9$$