What is the answer to |4-3x|-5=9 ?

The answer to |4-3x|-5=9 is x=-10/3 \lor x=6

Solve for x: |4-3x|-5=9

The solution is x=-10/3 \lor x=6

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∣ 4 - 3 x ∣ - 5 = 9

x = - \frac{10}{3} or x = 6

Decimal Notation

x = - 3.33333 \dots, x = 6

Solution steps

∣ 4 - 3 x ∣ - 5 = 9

Move

5

to the right side

∣ 4 - 3 x ∣ = 14

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 - 3 x = - 14 or 4 - 3 x = 14

4 - 3 x = - 14 or 4 - 3 x = 14

x = - \frac{10}{3} or x = 6

∣ r + 2 ∣ = - 4

∣ 6 - 4 x ∣ = 3

3 ∣ 3 (x + 4) (x - 2) ∣ - 4 = 47

∣ 2 x - 1 ∣ = 3 x + 11

4 ∣ x + 5 ∣ + 8 = 24