What is the answer to 37=|4x-9| ?

The answer to 37=|4x-9| is x=-7\lor x= 23/2

Solve for x: 37=|4x-9|

The solution is x=-7\lor x= 23/2

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37 = ∣ 4 x - 9 ∣

x = - 7 or x = \frac{23}{2}

Decimal Notation

x = - 7, x = 11.5

Solution steps

37 = ∣ 4 x - 9 ∣

Switch sides

∣ 4 x - 9 ∣ = 37

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 9 = - 37 or 4 x - 9 = 37

4 x - 9 = - 37 or 4 x - 9 = 37

x = - 7 or x = \frac{23}{2}

∣ 3 x + 6 ∣ + 6 = 5 x

\frac{1}{2} x + 5 = 13

4 ∣ 2 x + 3 ∣ + 8 = 20

- ∣ 10 + x ∣ + 10 = - 1

- 92 = - 10 ∣ 2 - 4 n ∣ + 8