What is the answer to |4+8x|=5 ?

The answer to |4+8x|=5 is x=-9/8 \lor x= 1/8

Solve for x: |4+8x|=5

The solution is x=-9/8 \lor x= 1/8

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∣ 4 + 8 x ∣ = 5

x = - \frac{9}{8} or x = \frac{1}{8}

Decimal

x = - 1.125, x = 0.125

Solution steps

∣ 4 + 8 x ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 + 8 x = - 5 or 4 + 8 x = 5

4 + 8 x = - 5 or 4 + 8 x = 5

x = - \frac{9}{8} or x = \frac{1}{8}

∣ x ∣ + 2 = 10

∣ x + 4 ∣ + 10 = 21

x^{2} - 6 x - 2 ∣ x - 3 ∣ = - 6

x^{2} + 4 ∣ x ∣ - 12 = 0

- 6 ∣ r ∣ = - 7