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

The answer to |5x-4|+3=3 is x= 4/5

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|5x-4|+3=3

∣ 5 x - 4 ∣ + 3 = 3

x = \frac{4}{5}

Decimal

x = 0.8

Solution steps

∣ 5 x - 4 ∣ + 3 = 3

Subtract

3

from both sides

∣ 5 x - 4 ∣ + 3 - 3 = 3 - 3

Simplify

∣ 5 x - 4 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

5 x - 4 = 0

5 x - 4 = 0 : x = \frac{4}{5}

x = \frac{4}{5}

∣ x - 3 ∣ = x - 1

∣ x + 4 ∣ - ∣ x - 2 ∣ = 10

∣ x + 7 ∣ = 2 x - 1

∣ x + 5 ∣ = 17

3 x - 4 = 0