Solve the equation by filling in the steps: 2(x−3)+21=−3
(4 points)
Step 1: Distribute to get
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 2x - 6 + 21 = -3
Step 2: Combine like terms to get 2x + 15 = -3
Step 3: Use subtraction to get 2x = -18
Step 4: Use division to get x = -9
Look at the steps for solving the equation and choose a true statement.
3x−9x+1=2(−3x+1)−1
−6x+1=−6x+2−1
−6x+1=−6x+1
(1 point)
The true statement is: -6x + 1 = -6x + 1
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 inverse operations to isolate the variable. Subtract 15 from both sides of the equation:
2x + 15 - 15 = -3 - 15
2x = -18
Step 4: Use the division property of equality to solve for x. Divide both sides of the equation by 2:
2x/2 = -18/2
x = -9
So the solution to the equation is x = -9.