What is the answer to 7-10|-4m+7|=-63 ?

The answer to 7-10|-4m+7|=-63 is m=0\lor m= 7/2

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7-10|-4m+7|=-63

7 - 10 ∣ - 4 m + 7 ∣ = - 63

m = 0 or m = \frac{7}{2}

Decimal Notation

m = 0, m = 3.5

Solution steps

7 - 10 ∣ - 4 m + 7 ∣ = - 63

Move

7

to the right side

- 10 ∣ - 4 m + 7 ∣ = - 70

Divide both sides by

- 10

∣ - 4 m + 7 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 4 m + 7 = - 7 or - 4 m + 7 = 7

- 4 m + 7 = - 7 or - 4 m + 7 = 7

m = 0 or m = \frac{7}{2}

∣ x + 1 ∣ = 2 x

3 ∣ x ∣ = 15

∣ 2 x + 3 ∣ - 1 = 0

∣ x ∣ - 9 = - 2

7 ∣ x - 6 ∣ = 40

What is the answer to 7-10|-4m+7|=-63 ?
The answer to 7-10|-4m+7|=-63 is m=0\lor m= 7/2
Solve for m: 7-10|-4m+7|=-63
The solution is m=0\lor m= 7/2