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

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

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5+|4x-5|=5

5 + ∣ 4 x - 5 ∣ = 5

x = \frac{5}{4}

Solution steps

5 + ∣ 4 x - 5 ∣ = 5

Subtract

5

from both sides

5 + ∣ 4 x - 5 ∣ - 5 = 5 - 5

Simplify

∣ 4 x - 5 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

4 x - 5 = 0

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

x = \frac{5}{4}

(x - 5) (x - 4) = (x - 5) (x - 4)

2 x - 3 + 3 x = - 28

x^{2} \geq 64

3^{n + 1} - 3^{n}

- 2 (x + 4)^{2} - 9 = - 297