What is the answer to |2x-7|+1=9 ?

The answer to |2x-7|+1=9 is x=-1/2 \lor x= 15/2

Solve for x: |2x-7|+1=9

The solution is x=-1/2 \lor x= 15/2

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∣ 2 x - 7 ∣ + 1 = 9

x = - \frac{1}{2} or x = \frac{15}{2}

Decimal Notation

x = - 0.5, x = 7.5

Solution steps

∣ 2 x - 7 ∣ + 1 = 9

Move

1

to the right side

∣ 2 x - 7 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 7 = - 8 or 2 x - 7 = 8

2 x - 7 = - 8 or 2 x - 7 = 8

x = - \frac{1}{2} or x = \frac{15}{2}

∣ 2 x - 10 ∣ - 7 = - 5

∣ 6 - 5 x ∣ = 2

∣ 2 b - 2 ∣ = 2

4 - 6 ∣ 5 x - 2 ∣ = - 26

∣ 8 x - 2 ∣ = 66

What is the answer to |2x-7|+1=9 ?
The answer to |2x-7|+1=9 is x=-1/2 \lor x= 15/2
Solve for x: |2x-7|+1=9
The solution is x=-1/2 \lor x= 15/2