What is the answer to |4-3x|=10 ?

The answer to |4-3x|=10 is x=-2\lor x= 14/3

Solve for x: |4-3x|=10

The solution is x=-2\lor x= 14/3

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∣ 4 - 3 x ∣ = 10

x = - 2 or x = \frac{14}{3}

Solution steps

∣ 4 - 3 x ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 - 3 x = - 10 or 4 - 3 x = 10

4 - 3 x = - 10 or 4 - 3 x = 10

x = - 2 or x = \frac{14}{3}

- 2 ∣ 3 - x ∣ = - 8

- 2 ∣ 8 - x ∣ - 6 = - 12

- 4 ∣ x - 2 ∣ - 9 = - 37

∣ x + 12 ∣ = 0

- 10 + ∣ 2 + 10 x ∣ = 92