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

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

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

The solution is x= 3/5 \lor x=1

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∣ 4 - 5 x ∣ + 3 = 4

x = \frac{3}{5} or x = 1

Decimal Notation

x = 0.6, x = 1

Solution steps

∣ 4 - 5 x ∣ + 3 = 4

Move

3

to the right side

∣ 4 - 5 x ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 - 5 x = - 1 or 4 - 5 x = 1

4 - 5 x = - 1 or 4 - 5 x = 1

x = \frac{3}{5} or x = 1

∣ b - 24 ∣ = 40

∣ 2 x - 8 ∣ + 10 = 4 x

21 = ∣ a + 28 ∣

35 = ∣ y - 18 ∣

∣ 4 x - 7 ∣ - 7 = 2 x