What is the answer to |4x-7|+2=5x ?

The answer to |4x-7|+2=5x is x=1

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|4x-7|+2=5x

∣ 4 x - 7 ∣ + 2 = 5 x

x = 1

Solution steps

∣ 4 x - 7 ∣ + 2 = 5 x

Find positive and negative intervals

x < \frac{7}{4}, x \geq \frac{7}{4}

Solve the inequality for each interval

x = 1 or No Solution

x = 1

2 + ∣ 4 x - 6 ∣ = 9

∣ 3 u - 6 ∣ = 42

3 ∣ c - 6 ∣ - 10 = - 31

7 + 2 ∣ 3 x + 3 ∣ = 11

∣ x + 7 ∣ + 2 = 4 x