What is the answer to 2(|7x-2|)-4=10 ?

The answer to 2(|7x-2|)-4=10 is x=-5/7 \lor x= 9/7

Solve for x: 2(|7x-2|)-4=10

The solution is x=-5/7 \lor x= 9/7

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2 (∣ 7 x - 2 ∣) - 4 = 10

x = - \frac{5}{7} or x = \frac{9}{7}

Decimal

x = - 0.71428 \dots, x = 1.28571 \dots

Solution steps

2 ∣ 7 x - 2 ∣ - 4 = 10

Move

4

to the right side

2 ∣ 7 x - 2 ∣ = 14

Divide both sides by

2

∣ 7 x - 2 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 x - 2 = - 7 or 7 x - 2 = 7

7 x - 2 = - 7 or 7 x - 2 = 7

x = - \frac{5}{7} or x = \frac{9}{7}

16 ∣ 2 s + 5 ∣ = 20

∣ x + 3 ∣ = x^{2} - 4 x - 3

∣ 5 x + 8 ∣ + 16 = 28

∣ 3 x - 4 ∣ = ∣ 6 - 5 x ∣

0 = 2 x - 2 ∣ x ∣ + 3

What is the answer to 2(|7x-2|)-4=10 ?
The answer to 2(|7x-2|)-4=10 is x=-5/7 \lor x= 9/7
Solve for x: 2(|7x-2|)-4=10
The solution is x=-5/7 \lor x= 9/7