What is the answer to |5x-2|+6=6 ?

The answer to |5x-2|+6=6 is x= 2/5

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|5x-2|+6=6

∣ 5 x - 2 ∣ + 6 = 6

x = \frac{2}{5}

Decimal Notation

x = 0.4

Solution steps

∣ 5 x - 2 ∣ + 6 = 6

Subtract

6

from both sides

∣ 5 x - 2 ∣ + 6 - 6 = 6 - 6

Simplify

∣ 5 x - 2 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

5 x - 2 = 0

5 x - 2 = 0 : x = \frac{2}{5}

x = \frac{2}{5}

3 x + 178 = 6 x + 238

q (q + 5) = 0

x - 2 = 3 x^{2}

∣ 3 x + 1 ∣ - 4 = - 1

∣ 3 x + 2 ∣ = ∣ 7 + 2 ∣