What is the answer to |8-2x|-5x=x+2 ?

The answer to |8-2x|-5x=x+2 is x= 3/4

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|8-2x|-5x=x+2

∣ 8 - 2 x ∣ - 5 x = x + 2

x = \frac{3}{4}

Decimal Notation

x = 0.75

Solution steps

∣ 8 - 2 x ∣ - 5 x = x + 2

Find positive and negative intervals

x \leq 4, x > 4

Solve the inequality for each interval

x = \frac{3}{4} or No Solution

x = \frac{3}{4}

∣ h + 1 ∣ = 6

∣ x - 2 ∣ + 6 = 10

∣ 4 x + 6 ∣ = 8

∣ t ∣ = 7

∣ 4 x + 6 ∣ = 9