What is the answer to 2+|4x-9|=7 ?

The answer to 2+|4x-9|=7 is x=1\lor x= 7/2

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2+|4x-9|=7

2 + ∣ 4 x - 9 ∣ = 7

x = 1 or x = \frac{7}{2}

Decimal Notation

x = 1, x = 3.5

Solution steps

2 + ∣ 4 x - 9 ∣ = 7

Move

2

to the right side

∣ 4 x - 9 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 9 = - 5 or 4 x - 9 = 5

4 x - 9 = - 5 or 4 x - 9 = 5

x = 1 or x = \frac{7}{2}

∣ 5 h + 2 ∣ = 8

∣ - 6 x + 5 ∣ = 4

∣ y + 6 ∣ = 2

∣ x - 1 ∣ - 8 = 0

2 ∣ x ∣ - 4 = 6