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

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

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solvefor x,4|2x-5|+6=10

solve for

x, 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

∣ 2 x ∣ = 32

∣ 2 x + 3 ∣ = x - 2

x - 6 = 3

∣ a - x ∣

∣ x + 3 ∣ - 4 ∣ x - 3 ∣ = 0

What is the answer to solvefor x,4|2x-5|+6=10 ?
The answer to solvefor x,4|2x-5|+6=10 is x=2\lor x=3