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

The answer to |3-5x|=4 is x=-1/5 \lor x= 7/5

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

The solution is x=-1/5 \lor x= 7/5

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∣ 3 - 5 x ∣ = 4

x = - \frac{1}{5} or x = \frac{7}{5}

Decimal Notation

x = - 0.2, x = 1.4

Solution steps

∣ 3 - 5 x ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - \frac{1}{5} or x = \frac{7}{5}

5 ∣ 2 x + 6 ∣ = 25

∣ 2 x - 5 ∣ = 5

∣ 2 x - 5 ∣ = 0

∣ - 2 x + 10 ∣ = 30

∣ 2 x + 5 ∣ + 4 = 3