What is the answer to |4-3x|=5 ?

The answer to |4-3x|=5 is x=-1/3 \lor x=3

Solve for x: |4-3x|=5

The solution is x=-1/3 \lor x=3

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∣ 4 - 3 x ∣ = 5

x = - \frac{1}{3} or x = 3

Solution steps

∣ 4 - 3 x ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 - 3 x = - 5 or 4 - 3 x = 5

4 - 3 x = - 5 or 4 - 3 x = 5

x = - \frac{1}{3} or x = 3

∣ 2 x - 6 ∣ = 1

x^{2} + ∣ x - 2 ∣ = 0

∣ 9 q + 3 ∣ = \frac{2}{5}

p^{0.1} = ∣ p + 4 ∣

1 = ∣ 2 x - 5 ∣