What is the answer to |5-8x|+3=4 ?

The answer to |5-8x|+3=4 is x= 1/2 \lor x= 3/4

Solve for x: |5-8x|+3=4

The solution is x= 1/2 \lor x= 3/4

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∣ 5 - 8 x ∣ + 3 = 4

x = \frac{1}{2} or x = \frac{3}{4}

Decimal Notation

x = 0.5, x = 0.75

Solution steps

∣ 5 - 8 x ∣ + 3 = 4

Move

3

to the right side

∣ 5 - 8 x ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 - 8 x = - 1 or 5 - 8 x = 1

5 - 8 x = - 1 or 5 - 8 x = 1

x = \frac{1}{2} or x = \frac{3}{4}

\frac{x + 8}{3} = ∣ x ∣

∣ 1 - y ∣ = 1

∣ 3 x - 2 ∣ = 9 x - 6

∣ x + 12 ∣ + x = 6

35 = ∣ 6 - x ∣

What is the answer to |5-8x|+3=4 ?
The answer to |5-8x|+3=4 is x= 1/2 \lor x= 3/4
Solve for x: |5-8x|+3=4
The solution is x= 1/2 \lor x= 3/4