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

The answer to -|2x-3|+6=6-x is x=1\lor x=3

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-|2x-3|+6=6-x

- ∣ 2 x - 3 ∣ + 6 = 6 - x

x = 1 or x = 3

Solution steps

- ∣ 2 x - 3 ∣ + 6 = 6 - x

Find positive and negative intervals

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

Solve the inequality for each interval

x = 1 or x = 3

∣ 2 x + 2 ∣ = - 4

8 x + 20 = - ∣ 2 x + 4 ∣

∣ x - 1 ∣ = x - 1

∣ 6 x - 3 ∣ + 10 = 1

4 ∣ x - 2 ∣ = 24

What is the answer to -|2x-3|+6=6-x ?
The answer to -|2x-3|+6=6-x is x=1\lor x=3
Solve for x: -|2x-3|+6=6-x
The solution is x=1\lor x=3