What is the answer to x-|2x-3(x-4)|=5 ?

The answer to x-|2x-3(x-4)|=5 is x= 17/2

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x-|2x-3(x-4)|=5

x - ∣ 2 x - 3 (x - 4) ∣ = 5

x = \frac{17}{2}

Decimal Notation

x = 8.5

Solution steps

x - ∣ 2 x - 3 (x - 4) ∣ = 5

Find positive and negative intervals

x \leq 12, x > 12

Solve the inequality for each interval

x = \frac{17}{2} or No Solution

x = \frac{17}{2}

5 \frac{x - 4}{3} = 40

∣ x + 5 ∣ = 2 x + 3

∣ 4 x + 2 ∣ = - 18

∣ 4 x + 2 ∣ = - 14

∣ 4 x + 2 ∣ = - 10

What is the answer to x-|2x-3(x-4)|=5 ?
The answer to x-|2x-3(x-4)|=5 is x= 17/2
Solve for x: x-|2x-3(x-4)|=5
The solution is x= 17/2