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

The answer to |4x-3|+4=9 is x=-1/2 \lor x=2

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

The solution is x=-1/2 \lor x=2

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∣ 4 x - 3 ∣ + 4 = 9

x = - \frac{1}{2} or x = 2

Decimal Notation

x = - 0.5, x = 2

Solution steps

∣ 4 x - 3 ∣ + 4 = 9

Move

4

to the right side

∣ 4 x - 3 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - \frac{1}{2} or x = 2

7 ∣ x - 3 ∣ = 21

7 ∣ x - 3 ∣ = 28

∣ 1 - 3 t ∣ + 6 = 16

∣ x - 1 ∣ = 1, y = 5

∣ 5 y + 10 ∣ = 15