What is the answer to 2|-h+4|+3=6 ?

The answer to 2|-h+4|+3=6 is h= 5/2 \lor h= 11/2

Solve for h: 2|-h+4|+3=6

The solution is h= 5/2 \lor h= 11/2

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2 ∣ - h + 4 ∣ + 3 = 6

h = \frac{5}{2} or h = \frac{11}{2}

Decimal Notation

h = 2.5, h = 5.5

Solution steps

2 ∣ - h + 4 ∣ + 3 = 6

Move

3

to the right side

2 ∣ - h + 4 ∣ = 3

Divide both sides by

2

∣ - h + 4 ∣ = \frac{3}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- h + 4 = - \frac{3}{2} or - h + 4 = \frac{3}{2}

- h + 4 = - \frac{3}{2} or - h + 4 = \frac{3}{2}

h = \frac{5}{2} or h = \frac{11}{2}

∣ q + 25 ∣ = 4

- 5 = - ∣ c + 6 ∣ + 1

6 ∣ - 8 x - 9 ∣ - 12 = 30

∣ b - 5 ∣ = 2

∣ b - 5 ∣ = 3

What is the answer to 2|-h+4|+3=6 ?
The answer to 2|-h+4|+3=6 is h= 5/2 \lor h= 11/2
Solve for h: 2|-h+4|+3=6
The solution is h= 5/2 \lor h= 11/2