What is the answer to |-7x+4|+9=34 ?

The answer to |-7x+4|+9=34 is x=-3\lor x= 29/7

Solve for x: |-7x+4|+9=34

The solution is x=-3\lor x= 29/7

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∣ - 7 x + 4 ∣ + 9 = 34

x = - 3 or x = \frac{29}{7}

Decimal Notation

x = - 3, x = 4.14285 \dots

Solution steps

∣ - 7 x + 4 ∣ + 9 = 34

Move

9

to the right side

∣ - 7 x + 4 ∣ = 25

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 7 x + 4 = - 25 or - 7 x + 4 = 25

- 7 x + 4 = - 25 or - 7 x + 4 = 25

x = - 3 or x = \frac{29}{7}

∣ 5 x + 6 ∣ = 41

∣ 4 u ∣ + 6 = 38

∣ n - 2 ∣ = 12

5 ∣ x - 2 ∣ - 7 = 2

∣ x ∣ + 9 = 75

What is the answer to |-7x+4|+9=34 ?
The answer to |-7x+4|+9=34 is x=-3\lor x= 29/7
Solve for x: |-7x+4|+9=34
The solution is x=-3\lor x= 29/7