What is the answer to 4|2x-5|+6=10 ?

The answer to 4|2x-5|+6=10 is x=2\lor x=3

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4|2x-5|+6=10

4 ∣ 2 x - 5 ∣ + 6 = 10

x = 2 or x = 3

Solution steps

4 ∣ 2 x - 5 ∣ + 6 = 10

Move

6

to the right side

4 ∣ 2 x - 5 ∣ = 4

Divide both sides by

4

∣ 2 x - 5 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 5 = - 1 or 2 x - 5 = 1

2 x - 5 = - 1 or 2 x - 5 = 1

x = 2 or x = 3

∣ 3 x + 9 ∣ - 7 = x

x^{2} - 5 x + 6 = 10

∣ x + 2 ∣ + x^{2} - 3 x + 2 = 4

x^{2} - 2 x = 2

\frac{6 - 2 m}{- 4} - 7 = - 19