What is the answer to |6-3x|=2 ?

The answer to |6-3x|=2 is x= 4/3 \lor x= 8/3

Solve for x: |6-3x|=2

The solution is x= 4/3 \lor x= 8/3

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∣ 6 - 3 x ∣ = 2

x = \frac{4}{3} or x = \frac{8}{3}

Decimal Notation

x = 1.33333 \dots, x = 2.66666 \dots

Solution steps

∣ 6 - 3 x ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 - 3 x = - 2 or 6 - 3 x = 2

6 - 3 x = - 2 or 6 - 3 x = 2

x = \frac{4}{3} or x = \frac{8}{3}

3 = x + 7

- 2 (6 x - 8) = 4 x

6 + 3 (x + 1) > 7 + 4 (x - 1)

2 b + 1 \leq 5

x - 3 \geq 2