What is the answer to |4-3x|=6 ?

The answer to |4-3x|=6 is x=-2/3 \lor x= 10/3

Solve for x: |4-3x|=6

The solution is x=-2/3 \lor x= 10/3

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∣ 4 - 3 x ∣ = 6

x = - \frac{2}{3} or x = \frac{10}{3}

Decimal Notation

x = - 0.66666 \dots, x = 3.33333 \dots

Solution steps

∣ 4 - 3 x ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 - 3 x = - 6 or 4 - 3 x = 6

4 - 3 x = - 6 or 4 - 3 x = 6

x = - \frac{2}{3} or x = \frac{10}{3}

∣ 4 - 3 x ∣ = 0

∣ 4 - 3 x ∣ = 1

∣ x + 7.5 ∣ = 5

∣ x + 7.5 ∣ = 4

∣ 2 x - 6 ∣ = 2