Question

5(x+2)=-20 but using 2 different methods and must show work and cannot use guess or check.

Answer 1

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