What is the answer to |4x+5|-5=23 ?

The answer to |4x+5|-5=23 is x=-33/4 \lor x= 23/4

Solve for x: |4x+5|-5=23

The solution is x=-33/4 \lor x= 23/4

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∣ 4 x + 5 ∣ - 5 = 23

x = - \frac{33}{4} or x = \frac{23}{4}

Decimal Notation

x = - 8.25, x = 5.75

Solution steps

∣ 4 x + 5 ∣ - 5 = 23

Move

5

to the right side

∣ 4 x + 5 ∣ = 28

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x + 5 = - 28 or 4 x + 5 = 28

4 x + 5 = - 28 or 4 x + 5 = 28

x = - \frac{33}{4} or x = \frac{23}{4}

\frac{1}{2} ∣ x + 3 ∣ = 6

7 ∣ x - 4 ∣ = 12

2 ∣ 3 x - 7 ∣ + 11 = 19

∣ 5 + 8 x ∣ = 53

∣ x ∣ = - 18

What is the answer to |4x+5|-5=23 ?
The answer to |4x+5|-5=23 is x=-33/4 \lor x= 23/4
Solve for x: |4x+5|-5=23
The solution is x=-33/4 \lor x= 23/4