What is the answer to |2x-8|+6=16 ?

The answer to |2x-8|+6=16 is x=-1\lor x=9

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|2x-8|+6=16

∣ 2 x - 8 ∣ + 6 = 16

x = - 1 or x = 9

Solution steps

∣ 2 x - 8 ∣ + 6 = 16

Move

6

to the right side

∣ 2 x - 8 ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 8 = - 10 or 2 x - 8 = 10

2 x - 8 = - 10 or 2 x - 8 = 10

x = - 1 or x = 9

\frac{\frac{x ^{2} - y ^{2}}{x + y}}{\frac{x - y}{a}}

\frac{1}{3} p = \frac{1}{2} p + \frac{1}{3}

4 x - 3 > 9

(\frac{3 x ^{7}}{x ^{3} y ^{3}})^{3}

(\frac{1}{27})^{- \frac{4}{3}}