What is the answer to 3|x+2|-5=|x+2|+7 ?

The answer to 3|x+2|-5=|x+2|+7 is x=-8\lor x=4

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3|x+2|-5=|x+2|+7

3 ∣ x + 2 ∣ - 5 = ∣ x + 2 ∣ + 7

x = - 8 or x = 4

Solution steps

3 ∣ x + 2 ∣ - 5 = ∣ x + 2 ∣ + 7

Move

5

to the right side

3 ∣ x + 2 ∣ = ∣ x + 2 ∣ + 12

Move

∣ x + 2 ∣

to the left side

2 ∣ x + 2 ∣ = 12

Divide both sides by

2

∣ x + 2 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 2 = - 6 or x + 2 = 6

x + 2 = - 6 or x + 2 = 6

x = - 8 or x = 4

3 (1 - 2 x) = 8

- 2 (x - 2) + 3 (x - 4) = 9

\frac{( y - 2 ) ^{2}}{25} + \frac{( x - 5 ) ^{2}}{75}

(1 - 2 i) (1 + 2 i)

\frac{2}{8} \cdot \frac{1}{7}

What is the answer to 3|x+2|-5=|x+2|+7 ?
The answer to 3|x+2|-5=|x+2|+7 is x=-8\lor x=4
Solve for x: 3|x+2|-5=|x+2|+7
The solution is x=-8\lor x=4