What is the answer to |5-1/2 x|=4 ?

The answer to |5-1/2 x|=4 is x=2\lor x=18

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|5-1/2 x|=4

5 - \frac{1}{2} x = 4

x = 2 or x = 18

Solution steps

5 - \frac{1}{2} x = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 - \frac{1}{2} x = - 4 or 5 - \frac{1}{2} x = 4

5 - \frac{1}{2} x = - 4 or 5 - \frac{1}{2} x = 4

x = 2 or x = 18

3 x - 27 = 51

\frac{1}{4} ∣ x + 2 ∣ + 7 = 5

- 6 + \frac{x}{4} = - 5

(\frac{a ^{2} b ^{- 4}}{b ^{2}})^{5}

\frac{2}{1 - 2}