What is the answer to |x+4.5|=10.5 ?

The answer to |x+4.5|=10.5 is x=-15\lor x=6

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|x+4.5|=10.5

∣ x + 4.5 ∣ = 10.5

x = - 15 or x = 6

Solution steps

∣ x + 4.5 ∣ = 10.5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 4.5 = - 10.5 or x + 4.5 = 10.5

x + 4.5 = - 10.5 or x + 4.5 = 10.5

x = - 15 or x = 6

\frac{2 x - 4}{3} = 2

x, 3 ∣ x - 6 ∣ = 8

7 ∣ 4 - 8 x ∣ = 2 x + 2

7 ∣ 4 - 8 x ∣ = 2 x + 3

7 ∣ - 2 x + 5 ∣ - 10 = 11

What is the answer to |x+4.5|=10.5 ?
The answer to |x+4.5|=10.5 is x=-15\lor x=6
Solve for x: |x+4.5|=10.5
The solution is x=-15\lor x=6