What is the answer to |9-2x|=10+3x ?

The answer to |9-2x|=10+3x is x=-1/5

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|9-2x|=10+3x

∣ 9 - 2 x ∣ = 10 + 3 x

x = - \frac{1}{5}

Decimal Notation

x = - 0.2

Solution steps

∣ 9 - 2 x ∣ = 10 + 3 x

Find positive and negative intervals

x \leq \frac{9}{2}, x > \frac{9}{2}

Solve the inequality for each interval

x = - \frac{1}{5} or No Solution

x = - \frac{1}{5}

8 + ∣ 4 x + 7 ∣ = 17

∣ 2 x - 3 ∣ = 4 x - 1

∣ y - 1 ∣ + 17 = 23

4 ∣ 7 y + 2 ∣ - 8 = - 7

∣ 3 x - 2 ∣ = 2 x + 8