Question

The model represents an equation. What value of x makes the equation true?

Please write an explanation on why. I don’t just want the answer I actually want to learn and understand it, thank you! :>

Answer 1

A) 29/8

Explanation:

On the left side of the equals sign, we have five x's and nine -1's.

On the right side of the equals sign, we have three -x's and twenty 1's.

Both sides are equal, so:

5(x) + 9(-1) = 3(-x) + 20(1)

5x − 9 = -3x + 20

Add 3x to both sides.

8x − 9 = 20

Add 9 to both sides.

8x = 29

Divide both sides by 8.

x = 29/8