Question

Your math teacher asked you to solve the equation in the box.

6(x - 1) - 4x = 2(3x - 5)
Which value of x will make the equation true?
HI
H
N

Answer 1

x = x - 4/6

false

Explanation:

6(x - 1) - 4x = 2(3x - 5)

First, lets distribute the 6 to each item inside the parentheses on the left side. You can do this by multiplying the 6 by each term.

6 * x = 6x

6 * -1 = -6

6x - 6 - 4x = 2(3x - 5)

Next, we will combine like terms.

6x - 4x = 2x

2x - 6 = 2(3x - 5)

Now, let's look at the right side of the equation.

Let's distribute the 2 to each item inside the parentheses on the left side. You can do this by multiplying the 2 by each term.

2 * 3x = 6x

2 * -5 = -10

6x - 1 = 6x - 5

Immediately, we can tell this is false, but let's solve the equation just to make sure.

6x - 1 = 6x - 5

+1 +1

6x = 6x - 4

--- --------

6 6

x = x - 4/6

This is false.