solve abs(x-2)=3
Let's solve in ℝ: abs(x -2) = 3
Since 3 ≥ 0, abs(x -2) = 3 is equivalent to x -2 = 3 or x -2 = -3
Let's solve in ℝ: x -2 = 3
ⓘ We add 2 to both sides
x = 3 + 2
ⓘ Start from 3 and move forward 2 on the number line: 3 + 2 = 5
Solution found: x = 5
Let's solve in ℝ: x -2 = -3
ⓘ We add 2 to both sides
x = -3 + 2
ⓘ Start from -3 and move forward 2 on the number line, getting closer to zero: -3 + 2 = -1
Solution found: x = -1
▶Solution:   x = { -1, 5 }