What is the answer to 10-|4x|=5 ?

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

Solve for x: 10-|4x|=5

The solution is x=-5/4 \lor x= 5/4

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10 - ∣ 4 x ∣ = 5

x = - \frac{5}{4} or x = \frac{5}{4}

Decimal Notation

x = - 1.25, x = 1.25

Solution steps

10 - ∣ 4 x ∣ = 5

Move

10

to the right side

- ∣ 4 x ∣ = - 5

Divide both sides by

- 1

∣ 4 x ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x = - 5 or 4 x = 5

4 x = - 5 or 4 x = 5

x = - \frac{5}{4} or x = \frac{5}{4}

2 - 3 ∣ x - 2 ∣ = 10

16 = 3 - ∣ x - 2 ∣

∣ x - 430 ∣ = 20

∣ u ∣ + 14 = 23

∣ 2 x - 1 ∣ = \frac{1}{2}