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

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

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|5x+2|-5=2x

∣ 5 x + 2 ∣ - 5 = 2 x

x = - 1 or x = 1

Solution steps

∣ 5 x + 2 ∣ - 5 = 2 x

Find positive and negative intervals

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

Solve the inequality for each interval

x = - 1 or x = 1

2 ∣ 7 - 7 x ∣ = 2 x + 4

2 ∣ 3 x - 1 ∣ + 10 = 2

∣ a ∣ - 9 = - 2

∣ 2 x - 3 ∣ = 3

∣ x - 4 ∣ = 3 x + 2