What is the answer to |4-5x|=6 ?

The answer to |4-5x|=6 is x=-2/5 \lor x=2

Solve for x: |4-5x|=6

The solution is x=-2/5 \lor x=2

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∣ 4 - 5 x ∣ = 6

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

Decimal Notation

x = - 0.4, x = 2

Solution steps

∣ 4 - 5 x ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 - 5 x = - 6 or 4 - 5 x = 6

4 - 5 x = - 6 or 4 - 5 x = 6

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

∣ - 11 z + 7 ∣ + 8 = 5

\frac{1}{x} + 3 = 2

∣ x + 1 ∣ = x + 1

∣ 5 n + 7 ∣ = 23

\frac{3 + x}{2} = 5 + x