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

The answer to |5-2x|+|x+3|=2-3x is x<=-3

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

∣ 5 - 2 x ∣ + ∣ x + 3 ∣ = 2 - 3 x

x \leq - 3

Solution steps

∣ 5 - 2 x ∣ + ∣ x + 3 ∣ = 2 - 3 x

Find positive and negative intervals

x < - 3, - 3 \leq x \leq \frac{5}{2}, x > \frac{5}{2}

Solve the inequality for each interval

x < - 3 or x = - 3 or No Solution

Merge Overlapping Intervals

x \leq - 3

∣ x - 1 ∣ + ∣ y + 2 ∣ = 5

∣ x - 2 ∣ = ∣ 4 + x ∣

∣ x + 6 ∣ = 2 x + 3

∣ 5 x + 2 ∣ = ∣ x + 4 ∣

\frac{∣ 5 - 3 x ∣ + 2}{3} = \frac{1}{6}

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