What is the answer to |15+m|=-2m+3 ?

The answer to |15+m|=-2m+3 is m=-4

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|15+m|=-2m+3

∣ 15 + m ∣ = - 2 m + 3

m = - 4

Solution steps

∣ 15 + m ∣ = - 2 m + 3

Find positive and negative intervals

m < - 15, m \geq - 15

Solve the inequality for each interval

No Solution or m = - 4

m = - 4

∣ x ∣ - 12 = - 20

\frac{∣ 2 - x ∣}{2} = 4 x

∣ 3 x - 2 ∣ - 18 = x

∣ x ∣ + 9 = 55

3 ∣ 2 (x + 4) (x - 2) ∣ - 5 = 52