What is the answer to |4-3x|=8 ?

The answer to |4-3x|=8 is x=-4/3 \lor x=4

Solve for x: |4-3x|=8

The solution is x=-4/3 \lor x=4

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∣ 4 - 3 x ∣ = 8

x = - \frac{4}{3} or x = 4

Decimal Notation

x = - 1.33333 \dots, x = 4

Solution steps

∣ 4 - 3 x ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 - 3 x = - 8 or 4 - 3 x = 8

4 - 3 x = - 8 or 4 - 3 x = 8

x = - \frac{4}{3} or x = 4

- 4 ∣ x - 3 ∣ = - 12

∣ 2 x - 6 ∣ = 4

53 = 5 ∣ x - 4 ∣ + 8

\frac{5 x - 4}{8} = 18

7 ∣ d ∣ = 49