What is the answer to |2x-7|=3x-10 ?

The answer to |2x-7|=3x-10 is x= 17/5

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|2x-7|=3x-10

∣ 2 x - 7 ∣ = 3 x - 10

x = \frac{17}{5}

Decimal

x = 3.4

Solution steps

∣ 2 x - 7 ∣ = 3 x - 10

Find positive and negative intervals

x < \frac{7}{2}, x \geq \frac{7}{2}

Solve the inequality for each interval

x = \frac{17}{5} or No Solution

x = \frac{17}{5}

a ∣ x + 3 ∣ + (5 - a) ∣ x - 3 ∣ - 6 = 0

- 2 ∣ x - 9 ∣ + 33 = - 7 x - 3 + 33

x, 2 ∣ 7 - 4 x ∣ = 12

f, f (∣ x ∣ + 1) = 3 x - 10

∣ 3 p - 4 ∣ = ∣ - p ∣