Solve the equation by filling in the steps: 2(x−3)+21=−3
(4 points)
Step 1: Distribute to get
2x - 6 + 21 = -3
Step 2: Combine like terms to get
Step 3: Use
to get 2x=−18
Step 4: Use
to get x=−9
Step 1: Distribute to get
2(x−3)+21=−3
2x - 6 + 21 = -3
Step 2: Combine like terms to get
2x + 15 = -3
Step 3: Use
to get 2x = −18
Step 4: Use
to get x = −9
for step 3 what do i use to get 2x = -18
Apologies for the confusion in my previous response. To solve for 2x in step 3, you should subtract 15 from both sides of the equation:
2x + 15 = -3
2x + 15 - 15 = -3 - 15
2x = -18
in step 4 what do i use to get x = -9
To solve for x in Step 4, you need to divide both sides of the equation by 2:
2x = -18
2x/2 = -18/2
x = -9
Step 1: Distribute to get 2x - 6 + 21 = -3
Step 2: Combine like terms to get 2x + 15 = -3
Step 3: Use subtraction to isolate 2x: 2x = -3 - 15
Step 4: Use subtraction to simplify the right side: 2x = -18
Step 5: Use division to solve for x: x = -18/2
Step 6: Simplify the division: x = -9
Step 1: Distribute to get 2(x - 3) + 21 = -3.
To distribute 2 to the terms inside the parentheses, we multiply 2 by each term. In this case, we distribute 2 to both x and -3. So we have 2 * x = 2x and 2 * -3 = -6. Thus, the equation becomes 2x - 6 + 21 = -3.
Step 2: Combine like terms to get 2x + 15 = -3.
Next, we can simplify the equation by combining like terms. We add -6 and 21, which gives us 15. Hence, the equation becomes 2x + 15 = -3.
Step 3: Use subtraction to isolate 2x.
To isolate 2x, we need to move 15 to the other side of the equation. Since 15 is positive, we subtract 15 from both sides of the equation. This gives us 2x + 15 - 15 = -3 - 15. Simplifying further, we obtain 2x = -18.
Step 4: Use division to solve for x.
To solve for x, we divide both sides of the equation by 2. Dividing -18 by 2 gives us -9. Therefore, the solution to the equation is x = -9.