Question

Consider this equation:

–2x – 4 + 5x = 8

Generate a plan to solve for the variable. Describe the steps that will be used.

Answer 1

sample response

Explanation:

The goal is to get x all alone. First combine like terms. Apply the addition property of equality to add 4 to both sides. Apply the division property of equality to divide both sides by 3. The result will be x = 4. Finally, check the solution by substituting 4 into the original equation.

Answer 2

Below!

Plan:

First, I would isolate all multiples of "x" from the constants by adding 4 to both sides of the equation. This will cancel out the "-4" in the LHS (Left-Hand-Side) of the equation. Now, I would add the constants and the variables. As a result, we would get a constant on the RHS (Right-Hand-Side) and a variable on the LHS (Left-Hand-Side). I will divide the variable by it's multiple and divide it with the constants. As a result, we will get the value of x. Work shown below.

Work:

• –2x – 4 + 5x = 8
• => -2x -4 + 4 + 5x = 8 + 4
• => -2x + 5x = 12
• => 3x = 12
• => x = 12/3
• => x = 4

`BrainiacUser1357`