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

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

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|-x+4|=2x-3

∣ - x + 4 ∣ = 2 x - 3

x = \frac{7}{3}

Decimal Notation

x = 2.33333 \dots

Solution steps

∣ - x + 4 ∣ = 2 x - 3

Find positive and negative intervals

x \leq 4, x > 4

Solve the inequality for each interval

x = \frac{7}{3} or No Solution

x = \frac{7}{3}

∣ x - 2 ∣ + ∣ x + 2 ∣ = 4

∣ 5 x - 2 ∣ - 5 = 0

\frac{2 \frac{2}{3} - x + 1}{4} = \frac{3}{4}

x, 3 ∣ y - 2 ∣ + 5 (2 x - y + 1)^{2} = 0

3 ∣ x ∣ + 2 = 8