What is the answer to |4-2x|-6=4x-5 ?

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

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|4-2x|-6=4x-5

∣ 4 - 2 x ∣ - 6 = 4 x - 5

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

∣ 4 - 2 x ∣ - 6 = 4 x - 5

Find positive and negative intervals

x \leq 2, x > 2

Solve the inequality for each interval

x = \frac{1}{2} or No Solution

x = \frac{1}{2}

\frac{4}{3} x - 8 = 14

2 ∣ x + 5 ∣ - 2 = 12

2 ∣ x + 5 ∣ - 2 = 10

∣ 3 x + 5 ∣ = x + 2

2 ∣ x ∣ + 7 = 10