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

The answer to |2x-3|=x+4 is x=-1/3 \lor x=7

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

The solution is x=-1/3 \lor x=7

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∣ 2 x - 3 ∣ = x + 4

x = - \frac{1}{3} or x = 7

Decimal Notation

x = - 0.33333 \dots, x = 7

Solution steps

∣ 2 x - 3 ∣ = x + 4

Find positive and negative intervals

x < \frac{3}{2}, x \geq \frac{3}{2}

Solve the inequality for each interval

x = - \frac{1}{3} or x = 7

∣ 5 - x ∣ = 2 x + 5

∣ x + 3 ∣ - 1 = 0

7 - 3 ∣ x - 2 ∣ = 5

∣ 3 n + 12 ∣ = 2 n

∣ 10 x - 4 ∣ = 3