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

The answer to |7x-5|=2x is x= 5/9 \lor x=1

Solve for x: |7x-5|=2x

The solution is x= 5/9 \lor x=1

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∣ 7 x - 5 ∣ = 2 x

x = \frac{5}{9} or x = 1

Decimal

x = 0.55555 \dots, x = 1

Solution steps

∣ 7 x - 5 ∣ = 2 x

Find positive and negative intervals

x < \frac{5}{7}, x \geq \frac{5}{7}

Solve the inequality for each interval

x = \frac{5}{9} or x = 1

- 5 ∣ x - 5 ∣ = - 50

2 ∣ 2 x - 1 ∣ = 14

5 ∣ x - 3 ∣ - 2 = 8

9 = ∣ z + 2 ∣ + 8

- 89 = - ∣ 8 v - 80 ∣ - 9