What is the answer to |2x-3|-2=|x-6| ?

The answer to |2x-3|-2=|x-6| is x=-5\lor x= 11/3

Solve for x: |2x-3|-2=|x-6|

The solution is x=-5\lor x= 11/3

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∣ 2 x - 3 ∣ - 2 = ∣ x - 6 ∣

x = - 5 or x = \frac{11}{3}

Decimal

x = - 5, x = 3.66666 \dots

Solution steps

∣ 2 x - 3 ∣ - 2 = ∣ x - 6 ∣

Find positive and negative intervals

x < \frac{3}{2}, \frac{3}{2} \leq x < 6, x \geq 6

Solve the inequality for each interval

x = - 5 or x = \frac{11}{3} or No Solution

x = - 5 or x = \frac{11}{3}

∣ z ∣ = z + 1

\frac{∣ 3 - 6 w ∣}{5} - 16 = - 7

u, ∣ 4 u + 8 ∣ - 7 = - 43

∣ 2 x - 1 ∣ = 2 ∣ 3 - x ∣

4 x + \frac{1}{3} = 20

What is the answer to |2x-3|-2=|x-6| ?
The answer to |2x-3|-2=|x-6| is x=-5\lor x= 11/3
Solve for x: |2x-3|-2=|x-6|
The solution is x=-5\lor x= 11/3