What is the answer to |5m-3|+2=9 ?

The answer to |5m-3|+2=9 is m=-4/5 \lor m=2

Solve for m: |5m-3|+2=9

The solution is m=-4/5 \lor m=2

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∣ 5 m - 3 ∣ + 2 = 9

m = - \frac{4}{5} or m = 2

Decimal Notation

m = - 0.8, m = 2

Solution steps

∣ 5 m - 3 ∣ + 2 = 9

Move

2

to the right side

∣ 5 m - 3 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 m - 3 = - 7 or 5 m - 3 = 7

5 m - 3 = - 7 or 5 m - 3 = 7

m = - \frac{4}{5} or m = 2

∣ - 5 h ∣ = 20

∣ 8 x + 1 ∣ = 23

- 40 = - 8 ∣ 505 - s ∣

∣ x + 7 ∣ - 4 = 12

∣ x + 3 ∣ + 1 = 0