What is the answer to |7x-4|+7=28 ?

The answer to |7x-4|+7=28 is x=-17/7 \lor x= 25/7

Solve for x: |7x-4|+7=28

The solution is x=-17/7 \lor x= 25/7

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∣ 7 x - 4 ∣ + 7 = 28

x = - \frac{17}{7} or x = \frac{25}{7}

Decimal Notation

x = - 2.42857 \dots, x = 3.57142 \dots

Solution steps

∣ 7 x - 4 ∣ + 7 = 28

Move

7

to the right side

∣ 7 x - 4 ∣ = 21

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 x - 4 = - 21 or 7 x - 4 = 21

7 x - 4 = - 21 or 7 x - 4 = 21

x = - \frac{17}{7} or x = \frac{25}{7}

∣ 5 a + 8 ∣ = 23

- 4 ∣ x ∣ + 3 = - 5

∣ x ∣ = x^{2} + x - 4

∣ x ∣ = x^{2} + x - 2

8 - ∣ - 7 p + 8 ∣ = 2

What is the answer to |7x-4|+7=28 ?
The answer to |7x-4|+7=28 is x=-17/7 \lor x= 25/7
Solve for x: |7x-4|+7=28
The solution is x=-17/7 \lor x= 25/7