What is the answer to |1-5x|+5=6 ?

The answer to |1-5x|+5=6 is x=0\lor x= 2/5

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|1-5x|+5=6

∣ 1 - 5 x ∣ + 5 = 6

x = 0 or x = \frac{2}{5}

Solution steps

∣ 1 - 5 x ∣ + 5 = 6

Move

5

to the right side

∣ 1 - 5 x ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

1 - 5 x = - 1 or 1 - 5 x = 1

1 - 5 x = - 1 or 1 - 5 x = 1

x = 0 or x = \frac{2}{5}

x + 2 = 4

16 j^{2} + 24 j + 9

\frac{1}{2} x - \frac{4}{3} > 2

\frac{24}{100} = x

\frac{m ^{\frac{1}{3}}}{m ^{\frac{1}{5}}}