What is the answer to |7x-10|=4 ?

The answer to |7x-10|=4 is x= 6/7 \lor x=2

Solve for x: |7x-10|=4

The solution is x= 6/7 \lor x=2

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∣ 7 x - 10 ∣ = 4

x = \frac{6}{7} or x = 2

Decimal Notation

x = 0.85714 \dots, x = 2

Solution steps

∣ 7 x - 10 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 x - 10 = - 4 or 7 x - 10 = 4

7 x - 10 = - 4 or 7 x - 10 = 4

x = \frac{6}{7} or x = 2

5.3 + ∣ x - 6 ∣ = 7.8

4 ∣ 3 x - 6 ∣ + 5 = 17

t^{2} - 99 = 1

- 4 ∣ 4 - 8 b ∣ = 12

- 3 ∣ x + 2 ∣ + 6 = 15