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

The answer to |x|+2|x+1|-3|x-2|=4 is x= 4/3

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|x|+2|x+1|-3|x-2|=4

∣ x ∣ + 2 ∣ x + 1 ∣ - 3 ∣ x - 2 ∣ = 4

x = \frac{4}{3}

Decimal Notation

x = 1.33333 \dots

Solution steps

∣ x ∣ + 2 ∣ x + 1 ∣ - 3 ∣ x - 2 ∣ = 4

Find positive and negative intervals

x < - 1, - 1 \leq x < 0, 0 \leq x < 2, x \geq 2

Solve the inequality for each interval

No Solution or x = \frac{4}{3}

x = \frac{4}{3}

∣ 9 + x ∣ = 2

∣ x - 1 ∣ x^{2} - 2 = 2

∣ 6 x - 16 ∣ = ∣ 3 x + 13 ∣

\frac{+ k}{- 2} = + 1

∣ x - 3.5 ∣ = 0

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