What is the answer to 7=| x/6 | ?

The answer to 7=| x/6 | is x=-42\lor x=42

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7=| x/6 |

7 = \frac{x}{6}

x = - 42 or x = 42

Solution steps

7 = \frac{x}{6}

Switch sides

\frac{x}{6} = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{x}{6} = - 7 or \frac{x}{6} = 7

\frac{x}{6} = - 7 or \frac{x}{6} = 7

x = - 42 or x = 42

∣ 13 + 4 y ∣ = 15

6 - ∣ 5 x + 6 ∣ = 4

6 - ∣ 4 - 4 x ∣ = - 6

∣ f + 10 ∣ = 1

6 - ∣ 8 + 5 x ∣ = 5