What is the answer to |x+3|+2=2x+8 ?

The answer to |x+3|+2=2x+8 is x=-3

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|x+3|+2=2x+8

∣ x + 3 ∣ + 2 = 2 x + 8

x = - 3

Solution steps

∣ x + 3 ∣ + 2 = 2 x + 8

Find positive and negative intervals

x < - 3, x \geq - 3

Solve the inequality for each interval

No Solution or x = - 3

x = - 3

\frac{2 x - 5}{3} = 11

0 = - ∣ r ∣

- 6 ∣ 3 x + 4 ∣ + 7 = 5

∣ x ∣ + 1 = 2

∣ x ∣ + 1 = 1