What is the answer to 8=|7+5x| ?

The answer to 8=|7+5x| is x=-3\lor x= 1/5

Solve for x: 8=|7+5x|

The solution is x=-3\lor x= 1/5

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8 = ∣ 7 + 5 x ∣

x = - 3 or x = \frac{1}{5}

Solution steps

8 = ∣ 7 + 5 x ∣

Switch sides

∣ 7 + 5 x ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 + 5 x = - 8 or 7 + 5 x = 8

7 + 5 x = - 8 or 7 + 5 x = 8

x = - 3 or x = \frac{1}{5}

4 = ∣ 3 x + 2 ∣

2 ∣ x + 1 ∣ - x = 3 x - 4

∣ 6 - 5 x ∣ - 4 = 2

∣ - 1 + 4 c ∣ = 41

18 = ∣ 6 a ∣