What is the answer to |5x-4|+9=9 ?

The answer to |5x-4|+9=9 is x= 4/5

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|5x-4|+9=9

∣ 5 x - 4 ∣ + 9 = 9

x = \frac{4}{5}

Solution steps

∣ 5 x - 4 ∣ + 9 = 9

Subtract

9

from both sides

∣ 5 x - 4 ∣ + 9 - 9 = 9 - 9

Simplify

∣ 5 x - 4 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

5 x - 4 = 0

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

x = \frac{4}{5}

2 (x + 4) (6 + x) = 0

\frac{160}{8}

x + \frac{1}{4} x = 15

lo g_{2} (x) < \frac{1}{4} x^{2}

49 x - 98 y + 49