What is the answer to 2|x|+|2x+3|=7 ?

The answer to 2|x|+|2x+3|=7 is x=-5/2 \lor x=1

Solve for x: 2|x|+|2x+3|=7

The solution is x=-5/2 \lor x=1

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2 ∣ x ∣ + ∣ 2 x + 3 ∣ = 7

x = - \frac{5}{2} or x = 1

Decimal Notation

x = - 2.5, x = 1

Solution steps

2 ∣ x ∣ + ∣ 2 x + 3 ∣ = 7

Find positive and negative intervals

x < - \frac{3}{2}, - \frac{3}{2} \leq x < 0, x \geq 0

Solve the inequality for each interval

x = - \frac{5}{2} or No Solution or x = 1

x = - \frac{5}{2} or x = 1

2 ∣ x - 1 ∣ = 2 x - 7

∣ x - 3 ∣ = x^{2} - 5 x + 6

∣ x + 2 ∣ + ∣ x + 5 ∣ - ∣ x - 7 ∣ = 15

x^{2} - x + 3 = x^{2} - 4 x + 7

∣ x + 3 ∣ - 5 = 4

What is the answer to 2|x|+|2x+3|=7 ?
The answer to 2|x|+|2x+3|=7 is x=-5/2 \lor x=1
Solve for x: 2|x|+|2x+3|=7
The solution is x=-5/2 \lor x=1