What is the answer to |2x-8|=7 ?

The answer to |2x-8|=7 is x= 1/2 \lor x= 15/2

Solve for x: |2x-8|=7

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

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∣ 2 x - 8 ∣ = 7

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

Decimal Notation

x = 0.5, x = 7.5

Solution steps

∣ 2 x - 8 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

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

x^{2} + 12 x + 20 = 0

- \frac{1}{2} (4)

(\frac{24}{25})^{2}

\frac{1}{8} - 2

x^{- 4}