Question

Give a example of a multi-step equation for each of the following solution

Answer 1

Here is the example.

Multi-step equation means before start solving equations, you need to isolate the variable terms and constant terms, then you have to combine the like terms.

Finally, you can solve the equation. This involves more than two steps.

Examples:

1) 2x + 3x + 5 = 20

Step 1: Isolate the variable terms and constants.

Subtract 5 on both sides, we get

2x + 3x + 5 - 5 = 20 -5

2x + 3x = 15

Step 2: Combine the like terms.

5x = 15

Step 3: Divide both sides by 5.

5x/5 = 15/5

x = 3.

2) 2(3x + 2) = 3(x - 1) + 4

Step 1: Use the distributive property and expand the given equation.

6x + 4 = 3x -3 + 4

Step 2: Isolate the variable terms and constants

Subtract 3x from both sides, we get

6x - 3x + 4 = 3x - 3x -3 + 4

3x + 4 = -3 + 4

Step 3: Simplify it.

3x + 4 = 1

Step 4: Subtract 4 from both sides.

3x + 4 - 4 = 1 - 4

3x = -3

Step 5: Divide both sides by 3.

3x/3 = -3/3

x = -1.

Hope this will help you. :)