Final answer:
To solve the equation 5(x+2)=-20 using two different methods, we can start by using the distributive property and then isolate the variable x.
Step-by-step explanation:
To solve the equation 5(x+2)=-20 using two different methods, we can start by using the distributive property and then isolate the variable x. Here's how:
Method 1:
Distribute the 5 to both terms inside the parentheses: 5*x + 5*2 = -20
Simplify: 5x + 10 = -20
Subtract 10 from both sides to isolate the variable: 5x = -30
Divide both sides by 5 to solve for x: x = -6
Method 2:
Move the constant term (-20) to the right side of the equation: 5(x+2) + 20 = 0
Distribute the 5 to both terms inside the parentheses: 5x + 10 + 20 = 0
Combine like terms: 5x + 30 = 0
Subtract 30 from both sides to isolate the variable: 5x = -30
Divide both sides by 5 to solve for x: x = -6