What is the answer to 3|2x-7|+5=11 ?

The answer to 3|2x-7|+5=11 is x= 5/2 \lor x= 9/2

Solve for x: 3|2x-7|+5=11

The solution is x= 5/2 \lor x= 9/2

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3 ∣ 2 x - 7 ∣ + 5 = 11

x = \frac{5}{2} or x = \frac{9}{2}

Decimal Notation

x = 2.5, x = 4.5

Solution steps

3 ∣ 2 x - 7 ∣ + 5 = 11

Move

5

to the right side

3 ∣ 2 x - 7 ∣ = 6

Divide both sides by

3

∣ 2 x - 7 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 7 = - 2 or 2 x - 7 = 2

2 x - 7 = - 2 or 2 x - 7 = 2

x = \frac{5}{2} or x = \frac{9}{2}

∣ 4 x + 5 ∣ - 2 = 18

∣ 5 x - 1 ∣ + 4 = 1

x^{2} - 5 ∣ x ∣ - 4 = 0

∣ 1 - 4 m ∣ = 7

∣ x + 1 ∣ - 5 = 5

What is the answer to 3|2x-7|+5=11 ?
The answer to 3|2x-7|+5=11 is x= 5/2 \lor x= 9/2
Solve for x: 3|2x-7|+5=11
The solution is x= 5/2 \lor x= 9/2