solve |x-2|=3 — step-by-step solution

Let's solve in

ℝ

| x - 2 | = 3

3 \geq 0

| x - 2 | = 3

is equivalent to

x - 2 = 3

x - 2 = -3

Let's solve in

ℝ

x - 2 = 3

ⓘ Add

2

to both sides

x = 3 + 2

ⓘ Start from

3

and move forward

2

on the number line:

3 + 2

5

Solution obtained:

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 obtained:

x = -1

▶Solution:

x = {-1, 5}