What is the answer to |2x-5|-|4-x|=10 ?

The answer to |2x-5|-|4-x|=10 is x=-9\lor x=11

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|2x-5|-|4-x|=10

∣ 2 x - 5 ∣ - ∣ 4 - x ∣ = 10

x = - 9 or x = 11

Solution steps

∣ 2 x - 5 ∣ - ∣ 4 - x ∣ = 10

Find positive and negative intervals

x < \frac{5}{2}, \frac{5}{2} \leq x \leq 4, x > 4

Solve the inequality for each interval

x = - 9 or No Solution or x = 11

x = - 9 or x = 11

2 y + 18 y + 37 = (y + 4)^{2}

x^{2} + 4 x + 14 = 0

(2 - x) (x + 1) (x^{2} - 16) > 0

\frac{- 12 x ^{- 2} y ^{4}}{3 x y ^{- 3}}

2 k^{2} - 5 k - 18 = 0

What is the answer to |2x-5|-|4-x|=10 ?
The answer to |2x-5|-|4-x|=10 is x=-9\lor x=11
Solve for x: |2x-5|-|4-x|=10
The solution is x=-9\lor x=11