What is the answer to 2*|4-x|=3x ?

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

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2*|4-x|=3x

2 \cdot ∣ 4 - x ∣ = 3 x

x = \frac{8}{5}

Decimal Notation

x = 1.6

Solution steps

2 ∣ 4 - x ∣ = 3 x

Find positive and negative intervals

x \leq 4, x > 4

Solve the inequality for each interval

x = \frac{8}{5} or No Solution

x = \frac{8}{5}

∣ - 2 x - 3 ∣ + 9 = 24

∣ v - 2 ∣ = 3

x^{2} - 3 x + 1 = 6 + x

∣ 3 x + 2 ∣ + 4 x = - 6

x ∣ x ∣ = 1