What is the answer to |5x-6|+3=4x ?

The answer to |5x-6|+3=4x is x=1\lor x=3

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|5x-6|+3=4x

∣ 5 x - 6 ∣ + 3 = 4 x

x = 1 or x = 3

Solution steps

∣ 5 x - 6 ∣ + 3 = 4 x

Find positive and negative intervals

x < \frac{6}{5}, x \geq \frac{6}{5}

Solve the inequality for each interval

x = 1 or x = 3

∣ x - 10 ∣ + 3 = 10

∣ - c + 12 ∣ = 14

∣ x - 3 ∣ + 4 = 9

49 = ∣ 7 c ∣

5 = \frac{c}{3}