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

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

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

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

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∣ - 3 x + 6 ∣ = 2

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

Decimal Notation

x = 1.33333 \dots, x = 2.66666 \dots

Solution steps

∣ - 3 x + 6 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

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

x^{- 4} + x^{- 2} + x^{- 1}

(x + 1)^{3} - 1

- 6 x^{2} + 5 x + 6

v + 1 \leq 7

- \frac{\frac{5}{8}}{( - \frac{7}{6} )}