What is the answer to -5|-3x+2|-2=-2 ?

The answer to -5|-3x+2|-2=-2 is x= 2/3

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-5|-3x+2|-2=-2

- 5 ∣ - 3 x + 2 ∣ - 2 = - 2

x = \frac{2}{3}

Solution steps

- 5 ∣ - 3 x + 2 ∣ - 2 = - 2

Add

2

to both sides

- 5 ∣ - 3 x + 2 ∣ - 2 + 2 = - 2 + 2

Simplify

- 5 ∣ - 3 x + 2 ∣ = 0

Divide both sides by

- 5

∣ - 3 x + 2 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

- 3 x + 2 = 0

- 3 x + 2 = 0 : x = \frac{2}{3}

x = \frac{2}{3}

867

\frac{5}{2} (\frac{1}{4})

\frac{5 + m}{5} - \frac{m + 4}{3} \leq - \frac{m}{15}

9 - 18 \div 3^{2}

\frac{1}{4} (4)