What is the answer to 2|4-m|=3m ?

The answer to 2|4-m|=3m is m= 8/5

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2|4-m|=3m

2 ∣ 4 - m ∣ = 3 m

m = \frac{8}{5}

Decimal Notation

m = 1.6

Solution steps

2 ∣ 4 - m ∣ = 3 m

Find positive and negative intervals

m \leq 4, m > 4

Solve the inequality for each interval

m = \frac{8}{5} or No Solution

m = \frac{8}{5}

∣ 2 x - 9 ∣ = 1

3 - 2 ∣ 8 x - 6 ∣ = - 49

3 = 8 + ∣ 10 y - 4 ∣

∣ 3 x + 8 ∣ = 7

∣ 3 x + 8 ∣ = 0