What is the answer to |m+3|=12-2m ?

The answer to |m+3|=12-2m is m=3

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|m+3|=12-2m

∣ m + 3 ∣ = 12 - 2 m

m = 3

Solution steps

∣ m + 3 ∣ = 12 - 2 m

Find positive and negative intervals

m < - 3, m \geq - 3

Solve the inequality for each interval

No Solution or m = 3

m = 3

x^{2} - 1 = 4

∣ 2 x + 3 ∣ - 4 = 3

∣ 5 - 9 x ∣ = 5

∣ x + 1 ∣ + 9 = 3 x

∣ x ∣ = x + 7