What is the answer to |5m+8|=27 ?

The answer to |5m+8|=27 is m=-7\lor m= 19/5

Solve for m: |5m+8|=27

The solution is m=-7\lor m= 19/5

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∣ 5 m + 8 ∣ = 27

m = - 7 or m = \frac{19}{5}

Decimal Notation

m = - 7, m = 3.8

Solution steps

∣ 5 m + 8 ∣ = 27

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 m + 8 = - 27 or 5 m + 8 = 27

5 m + 8 = - 27 or 5 m + 8 = 27

m = - 7 or m = \frac{19}{5}

9 - ∣ 3 x ∣ = 7

∣ x - 11 ∣ - 5 = - 5

∣ 4 x + 8 ∣ - 10 = 6

∣ - 4 + x ∣ = 10

∣ 5 x + 2 ∣ = 5