What is the answer to |4-5x|+8=13 ?

The answer to |4-5x|+8=13 is x=-1/5 \lor x= 9/5

Solve for x: |4-5x|+8=13

The solution is x=-1/5 \lor x= 9/5

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∣ 4 - 5 x ∣ + 8 = 13

x = - \frac{1}{5} or x = \frac{9}{5}

Decimal Notation

x = - 0.2, x = 1.8

Solution steps

∣ 4 - 5 x ∣ + 8 = 13

Move

8

to the right side

∣ 4 - 5 x ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - \frac{1}{5} or x = \frac{9}{5}

x^{2} - 40 = 0

∣ 3 x - 2 ∣ < 9

- 47 + 3 b = 7 - 3 b

∣ - 3 ∣

(- 5 x - 1) (- 2) = 16

What is the answer to |4-5x|+8=13 ?
The answer to |4-5x|+8=13 is x=-1/5 \lor x= 9/5
Solve for x: |4-5x|+8=13
The solution is x=-1/5 \lor x= 9/5