What is the answer to |4x+7|-2=26 ?

The answer to |4x+7|-2=26 is x=-35/4 \lor x= 21/4

Solve for x: |4x+7|-2=26

The solution is x=-35/4 \lor x= 21/4

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∣ 4 x + 7 ∣ - 2 = 26

x = - \frac{35}{4} or x = \frac{21}{4}

Decimal Notation

x = - 8.75, x = 5.25

Solution steps

∣ 4 x + 7 ∣ - 2 = 26

Move

2

to the right side

∣ 4 x + 7 ∣ = 28

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x + 7 = - 28 or 4 x + 7 = 28

4 x + 7 = - 28 or 4 x + 7 = 28

x = - \frac{35}{4} or x = \frac{21}{4}

∣ x ∣ = x + 1

∣ 2 x + 5 ∣ = 6 x - 3

4 ∣ x - 7 ∣ - 2 = 10

∣ 2 n ∣ + 9 = 11

- ∣ 2 x + 5 ∣ + 4 = - 13

What is the answer to |4x+7|-2=26 ?
The answer to |4x+7|-2=26 is x=-35/4 \lor x= 21/4
Solve for x: |4x+7|-2=26
The solution is x=-35/4 \lor x= 21/4