What is the answer to 7|4x-13|=35 ?

The answer to 7|4x-13|=35 is x=2\lor x= 9/2

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7|4x-13|=35

7 ∣ 4 x - 13 ∣ = 35

x = 2 or x = \frac{9}{2}

Decimal Notation

x = 2, x = 4.5

Solution steps

7 ∣ 4 x - 13 ∣ = 35

Divide both sides by

7

∣ 4 x - 13 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 13 = - 5 or 4 x - 13 = 5

4 x - 13 = - 5 or 4 x - 13 = 5

x = 2 or x = \frac{9}{2}

∣ x + 6 ∣ - 3 - 3 x = - 2 x

∣ 3 x + 3 ∣ = 21

0 = ∣ q + 1 ∣

4 ∣ 3 w + 1 ∣ - 7 = 17

7 ∣ x - 4 ∣ = 8