We can see on the number line that the bracket is 4 units long, and the label above it says that it's (-3x + 1) long.
-3x + 1 = 4
Subtract 1 from each side: -3x = 3
Now divide each side by -3 : *** x = -1***
∣2 − ( − 2 ) ∣ = − 3 x + 1 − 3 x + 1 = ∣2 + 2∣ − 3 x + 1 = ∣4∣ − 3 x + 1 = 4 ∣ s u b t r a c t 1 f ro m b o h s i d es − 3 x = 3 ∣ d i v i d e b o t h s i d es b y ( − 3 ) x = − 1
To find the value of x, we isolate it in the equation using basic algebraic operations. For example, in the equation − 3 x + 1 = 4 , we find x = − 1 . Different types of equations, like quadratics, may need specific methods such as the quadratic formula to find multiple potential solutions.
;