What is the answer to 100-20x=|x| ?

The answer to 100-20x=|x| is x= 100/21

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100-20x=|x|

100 - 20 x = ∣ x ∣

x = \frac{100}{21}

Decimal Notation

x = 4.76190 \dots

Solution steps

100 - 20 x = ∣ x ∣

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

No Solution or x = \frac{100}{21}

x = \frac{100}{21}

∣ x - 2 ∣ + x - 2 = 0

∣ 6 x - 4 ∣ + 3 = 15

(x - 2)^{2} = 6 - ∣ x - 3 ∣

1 - \frac{1}{x} - 3 = 0

10 ∣ 4 + 7 x ∣ - 6 = 94