What is the answer to |(2-x)/4 |=x-1 ?

The answer to |(2-x)/4 |=x-1 is x= 6/5

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|(2-x)/4 |=x-1

\frac{2 - x}{4} = x - 1

x = \frac{6}{5}

Decimal Notation

x = 1.2

Solution steps

\frac{2 - x}{4} = x - 1

Find positive and negative intervals

x \leq 2, x > 2

Solve the inequality for each interval

x = \frac{6}{5} or No Solution

x = \frac{6}{5}

∣ 4 x - 5 ∣ = 15

4 ∣ x - 3 ∣ - 2 = x

2 ∣ 7 + 5 x ∣ + 7 = 41

∣ - 12 x - 7 ∣ = 9

∣ x ∣ - 2 = 5