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

The answer to |2x-5|=4-|x-3| is x= 4/3 \lor x=4

Solve for x: |2x-5|=4-|x-3|

The solution is x= 4/3 \lor x=4

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∣ 2 x - 5 ∣ = 4 - ∣ x - 3 ∣

x = \frac{4}{3} or x = 4

Solution steps

∣ 2 x - 5 ∣ = 4 - ∣ x - 3 ∣

Find positive and negative intervals

x < \frac{5}{2}, \frac{5}{2} \leq x < 3, x \geq 3

Solve the inequality for each interval

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

x = \frac{4}{3} or x = 4

∣ z + 1 ∣ = ∣ z - 1 ∣

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

5 - 6 ∣ x ∣ = - 7

16 - x^{2} = 20

∣ x - 3 ∣ + ∣ x - 4 ∣ = 3

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