What is the answer to |2x+5|=7x-2 ?

The answer to |2x+5|=7x-2 is x= 7/5

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|2x+5|=7x-2

∣ 2 x + 5 ∣ = 7 x - 2

x = \frac{7}{5}

Solution steps

∣ 2 x + 5 ∣ = 7 x - 2

Find positive and negative intervals

x < - \frac{5}{2}, x \geq - \frac{5}{2}

Solve the inequality for each interval

No Solution or x = \frac{7}{5}

x = \frac{7}{5}

∣ x - 4 ∣ = 17

∣ 3 x - 2 ∣ = 1

∣ 6 n - 7 ∣ - 5 = 3 n

∣ x - 4 ∣ = x^{2}

∣ t - 4 ∣ = 7 t + 12