What is the answer to |7m+2|=5 ?

The answer to |7m+2|=5 is m=-1\lor m= 3/7

Solve for m: |7m+2|=5

The solution is m=-1\lor m= 3/7

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∣ 7 m + 2 ∣ = 5

m = - 1 or m = \frac{3}{7}

Decimal Notation

m = - 1, m = 0.42857 \dots

Solution steps

∣ 7 m + 2 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 m + 2 = - 5 or 7 m + 2 = 5

7 m + 2 = - 5 or 7 m + 2 = 5

m = - 1 or m = \frac{3}{7}

7 ∣ 9 - x ∣ + 5 = 40

8 - 7 ∣ 2 x - 1 ∣ = - 48

∣ s ∣ - 8 = 12

∣ x - 8 ∣ = \frac{x}{3}

4 + ∣ 7 - m ∣ = 5