What is the answer to |8x|=7 ?

The answer to |8x|=7 is x=-7/8 \lor x= 7/8

The solution is x=-7/8 \lor x= 7/8

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|8x|=7

∣ 8 x ∣ = 7

x = - \frac{7}{8} or x = \frac{7}{8}

Decimal Notation

x = - 0.875, x = 0.875

Solution steps

∣ 8 x ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

8 x = - 7 or 8 x = 7

8 x = - 7 or 8 x = 7

x = - \frac{7}{8} or x = \frac{7}{8}

∣ p - 2 ∣ = 3

∣ 1 + 9 x ∣ = 10

∣ 7 x + 1 ∣ - 16 = 9

6 ∣ w ∣ = 0

\frac{1}{9} x = 4