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

The answer to |3-x|+5=2|x-3| is x=-2\lor x=8

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

∣ 3 - x ∣ + 5 = 2 ∣ x - 3 ∣

x = - 2 or x = 8

Solution steps

∣ 3 - x ∣ + 5 = 2 ∣ x - 3 ∣

Find positive and negative intervals

x \leq 3, x > 3

Solve the inequality for each interval

x = - 2 or x = 8

3 v^{2} - 24 v = 0

x^{2} + x - 20 = 0

\frac{1}{2} \cdot 14 \cdot 13

x^{2} - 14 x + 98 = 0

8 - (- 3)

What is the answer to |3-x|+5=2|x-3| ?
The answer to |3-x|+5=2|x-3| is x=-2\lor x=8
Solve for x: |3-x|+5=2|x-3|
The solution is x=-2\lor x=8