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

The answer to |2x+6|=|x-2| is x=-8\lor x=-4/3

Solve for x: |2x+6|=|x-2|

The solution is x=-8\lor x=-4/3

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∣ 2 x + 6 ∣ = ∣ x - 2 ∣

x = - 8 or x = - \frac{4}{3}

Decimal Notation

x = - 8, x = - 1.33333 \dots

Solution steps

∣ 2 x + 6 ∣ = ∣ x - 2 ∣

Find positive and negative intervals

x < - 3, - 3 \leq x < 2, x \geq 2

Solve the inequality for each interval

x = - 8 or x = - \frac{4}{3} or No Solution

x = - 8 or x = - \frac{4}{3}

\frac{5 x}{2} - x = \frac{x}{6} - \frac{16}{3}

(x + 1) (x + 2) \leq 9

(\frac{12}{13})^{2}

- \frac{π ( - 2 π x + 1 )}{3 3} + 2 π x = 0

0^{\frac{3}{2}}

What is the answer to |2x+6|=|x-2| ?
The answer to |2x+6|=|x-2| is x=-8\lor x=-4/3
Solve for x: |2x+6|=|x-2|
The solution is x=-8\lor x=-4/3