What is the answer to 2| 1/2 x+6|+9=9 ?

The answer to 2| 1/2 x+6|+9=9 is x=-12

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2| 1/2 x+6|+9=9

2 \frac{1}{2} x + 6 + 9 = 9

x = - 12

Solution steps

2 \frac{1}{2} x + 6 + 9 = 9

Subtract

9

from both sides

2 \frac{1}{2} x + 6 + 9 - 9 = 9 - 9

Simplify

2 \frac{1}{2} x + 6 = 0

Divide both sides by

2

\frac{1}{2} x + 6 = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

\frac{1}{2} x + 6 = 0

\frac{1}{2} x + 6 = 0 : x = - 12

x = - 12

(\frac{2}{3})^{2} + 2

4 \cdot (2 \cdot x - 3) + (- x + 2) = 3

2^{2} + 1 1^{2} = c^{2}

10 = \frac{z}{2} + 7

3 x^{2} + 5 x - 12