Question

current skill $find the value of x as shown in the model below:-1 -1 -1 -1-1 -1 -1 -1 = -x -x -x -x -x -1-1 -1 -1 -1 -1

Explanation:

Step1: Count total left-hand side value

There are 12 tiles of $-1$, so total is $12 \times (-1) = -12$.

Step2: Write right-hand side expression

There are 5 tiles of $-x$ and 2 tiles of $-1$, so total is $-5x + 2\times(-1) = -5x -2$.

Step3: Set up equation and solve

Equate both sides:
$$-12 = -5x -2$$
Add 2 to both sides:
$$-12 + 2 = -5x -2 + 2$$
$$-10 = -5x$$
Divide both sides by $-5$:
$$\frac{-10}{-5} = \frac{-5x}{-5}$$
$$2 = x$$

Answer:

$2$