What is the answer to |2x-1|+3=|5-x| ?

The answer to |2x-1|+3=|5-x| is x=-1\lor x=1

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|2x-1|+3=|5-x|

∣ 2 x - 1 ∣ + 3 = ∣ 5 - x ∣

x = - 1 or x = 1

Solution steps

∣ 2 x - 1 ∣ + 3 = ∣ 5 - x ∣

Find positive and negative intervals

x < \frac{1}{2}, \frac{1}{2} \leq x \leq 5, x > 5

Solve the inequality for each interval

x = - 1 or x = 1 or No Solution

x = - 1 or x = 1

\frac{( x - 1 )}{x ^{2} - 4} < 0

- 2 X + 12 > - 8 X

x^{2} + 4 x - 5

9 x - 3 \geq 4 (3 x + 3)

4 0^{2} + 3 0^{2}

What is the answer to |2x-1|+3=|5-x| ?
The answer to |2x-1|+3=|5-x| is x=-1\lor x=1
Solve for x: |2x-1|+3=|5-x|
The solution is x=-1\lor x=1