What is the answer to 12|x-6|-9=5|x-6|+7 ?

The answer to 12|x-6|-9=5|x-6|+7 is x= 26/7 \lor x= 58/7

Solve for x: 12|x-6|-9=5|x-6|+7

The solution is x= 26/7 \lor x= 58/7

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12 ∣ x - 6 ∣ - 9 = 5 ∣ x - 6 ∣ + 7

x = \frac{26}{7} or x = \frac{58}{7}

Decimal Notation

x = 3.71428 \dots, x = 8.28571 \dots

Solution steps

12 ∣ x - 6 ∣ - 9 = 5 ∣ x - 6 ∣ + 7

Move

9

to the right side

12 ∣ x - 6 ∣ = 5 ∣ x - 6 ∣ + 16

Move

5 ∣ x - 6 ∣

to the left side

7 ∣ x - 6 ∣ = 16

Divide both sides by

7

∣ x - 6 ∣ = \frac{16}{7}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 6 = - \frac{16}{7} or x - 6 = \frac{16}{7}

x - 6 = - \frac{16}{7} or x - 6 = \frac{16}{7}

x = \frac{26}{7} or x = \frac{58}{7}

- 7 y = 14

- 15 - 22 x + 5 x^{2} = 0

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

7.5 h + 100 = 12.75 h + 80

\frac{x ^{8}}{x ^{- 2}}

What is the answer to 12|x-6|-9=5|x-6|+7 ?
The answer to 12|x-6|-9=5|x-6|+7 is x= 26/7 \lor x= 58/7
Solve for x: 12|x-6|-9=5|x-6|+7
The solution is x= 26/7 \lor x= 58/7