What is the answer to 38=|5x+7| ?

The answer to 38=|5x+7| is x=-9\lor x= 31/5

Solve for x: 38=|5x+7|

The solution is x=-9\lor x= 31/5

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38 = ∣ 5 x + 7 ∣

x = - 9 or x = \frac{31}{5}

Decimal Notation

x = - 9, x = 6.2

Solution steps

38 = ∣ 5 x + 7 ∣

Switch sides

∣ 5 x + 7 ∣ = 38

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x + 7 = - 38 or 5 x + 7 = 38

5 x + 7 = - 38 or 5 x + 7 = 38

x = - 9 or x = \frac{31}{5}

3 ∣ 2 x - 3 ∣ - 5 = 4

x^{2} - 4 = 4 - 2 x

∣ 3 x + 2 ∣ = 7

∣ a - 11 ∣ = 13

2 ∣ x + 9 ∣ + 3 = 7