What is the answer to 3|2x-5|+6=30 ?

The answer to 3|2x-5|+6=30 is x=-3/2 \lor x= 13/2

Solve for x: 3|2x-5|+6=30

The solution is x=-3/2 \lor x= 13/2

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3 ∣ 2 x - 5 ∣ + 6 = 30

x = - \frac{3}{2} or x = \frac{13}{2}

Decimal Notation

x = - 1.5, x = 6.5

Solution steps

3 ∣ 2 x - 5 ∣ + 6 = 30

Move

6

to the right side

3 ∣ 2 x - 5 ∣ = 24

Divide both sides by

3

∣ 2 x - 5 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 5 = - 8 or 2 x - 5 = 8

2 x - 5 = - 8 or 2 x - 5 = 8

x = - \frac{3}{2} or x = \frac{13}{2}

∣ 7 c ∣ = 49

2 \cdot ∣ 4 - x ∣ = 3 x

∣ - 2 x - 3 ∣ + 9 = 24

∣ v - 2 ∣ = 3

x^{2} - 3 x + 1 = 6 + x

What is the answer to 3|2x-5|+6=30 ?
The answer to 3|2x-5|+6=30 is x=-3/2 \lor x= 13/2
Solve for x: 3|2x-5|+6=30
The solution is x=-3/2 \lor x= 13/2