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

The answer to |5x-8|+3=4 is x= 7/5 \lor x= 9/5

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

The solution is x= 7/5 \lor x= 9/5

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∣ 5 x - 8 ∣ + 3 = 4

x = \frac{7}{5} or x = \frac{9}{5}

Decimal Notation

x = 1.4, x = 1.8

Solution steps

∣ 5 x - 8 ∣ + 3 = 4

Move

3

to the right side

∣ 5 x - 8 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = \frac{7}{5} or x = \frac{9}{5}

\frac{- 7 x + 2}{5} = 4

∣ 4 x + 2 ∣ + 2 = 6

∣ 2 x - 3 ∣ = 20

- 2 ∣ - 3 x + 2 ∣ = - 4

3 ∣ x - 6 ∣ = 4

What is the answer to |5x-8|+3=4 ?
The answer to |5x-8|+3=4 is x= 7/5 \lor x= 9/5
Solve for x: |5x-8|+3=4
The solution is x= 7/5 \lor x= 9/5