What is the answer to 3|3-x|-4|2x+1|=2 ?

The answer to 3|3-x|-4|2x+1|=2 is x=-11/5 \lor x= 3/11

Solve for x: 3|3-x|-4|2x+1|=2

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

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3 ∣ 3 - x ∣ - 4 ∣ 2 x + 1 ∣ = 2

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

Decimal Notation

x = - 2.2, x = 0.27272 \dots

Solution steps

3 ∣ 3 - x ∣ - 4 ∣ 2 x + 1 ∣ = 2

Find positive and negative intervals

x < - \frac{1}{2}, - \frac{1}{2} \leq x \leq 3, x > 3

Solve the inequality for each interval

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

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

∣ x ∣ + ∣ x + 1 ∣ + ∣ x + 2 ∣ = 3

∣ x - 2 ∣ + ∣ x ∣ = x^{2} - 2 x

x + 2 = 3

∣ x - 1 ∣ + ∣ x - 2 ∣ = 5

∣ 3 x + 2 ∣ = ∣ x - 1 ∣

What is the answer to 3|3-x|-4|2x+1|=2 ?
The answer to 3|3-x|-4|2x+1|=2 is x=-11/5 \lor x= 3/11
Solve for x: 3|3-x|-4|2x+1|=2
The solution is x=-11/5 \lor x= 3/11