What is the answer to |5x-1|=7x ?

The answer to |5x-1|=7x is x= 1/12

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|5x-1|=7x

∣ 5 x - 1 ∣ = 7 x

x = \frac{1}{12}

Decimal Notation

x = 0.08333 \dots

Solution steps

∣ 5 x - 1 ∣ = 7 x

Find positive and negative intervals

x < \frac{1}{5}, x \geq \frac{1}{5}

Solve the inequality for each interval

x = \frac{1}{12} or No Solution

x = \frac{1}{12}

∣ 3 x - 4 ∣ + 5 = 7

∣ 5 x - 2 ∣ = - 10

∣ x ∣ + 4 x = 12

b (x) = ∣ x + 4 ∣

10 = - 4 ∣ x + 5 ∣ + 10