Question

What is the reason for each step in the solution of the equation?

18 − 2x = 4x

Drag and drop the reasons into the boxes to correctly complete the table.

18 − 2x = 4x

18 = 6x

3 = x

Answer 1

We are given equation 18 − 2x = 4x. (Given)

2x is being subtracted from left side of the equation.

The reverse operation of the subraction is addition.

So, we need to add 2x on both sides.

Adding 2x on both sides, we get

18 − 2x+2x = 4x+2x  

( By Addition property of equality)

18 = 6x

We need to get rid 6 from both side.

Dividing both sides by 6, we get

18/6=6x/6

( By Division Property of equality)

3=x.

Answer 2

Answer:

3

Step-by-step explanation:

The given equation is

18 - 2x = 4x

The first step:

Add 2x on both the sides, we get

18 - 2 x + 2x = 4x + 2x

18 = 6x

The second step:

Divide both sides by 6, we get

$\frac{18}{6}=\frac{6x}{6}$

3 = x

Thus, the value of x is 3.