What is the answer to |2m+7|=6m+13 ?

The answer to |2m+7|=6m+13 is m=-3/2

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|2m+7|=6m+13

∣ 2 m + 7 ∣ = 6 m + 13

m = - \frac{3}{2}

Decimal Notation

m = - 1.5

Solution steps

∣ 2 m + 7 ∣ = 6 m + 13

Find positive and negative intervals

m < - \frac{7}{2}, m \geq - \frac{7}{2}

Solve the inequality for each interval

No Solution or m = - \frac{3}{2}

m = - \frac{3}{2}

5 - 2 ∣ x - 3 ∣ = 3

3 ∣ m + 8 ∣ = 39

10 = ∣ 2 x - 12 ∣

∣ b - 4 ∣ = 38

8 + 5 ∣ 8 - 2 x ∣ = 23