What is the answer to |2x+5|=14-x ?

The answer to |2x+5|=14-x is x=-19\lor x=3

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|2x+5|=14-x

∣ 2 x + 5 ∣ = 14 - x

x = - 19 or x = 3

Solution steps

∣ 2 x + 5 ∣ = 14 - x

Find positive and negative intervals

x < - \frac{5}{2}, x \geq - \frac{5}{2}

Solve the inequality for each interval

x = - 19 or x = 3

∣ b ∣ = 7

∣ x ∣ - 8 = 0

∣ 2 x + 4 ∣ = - x - 3

4 x = 2 ∣ x - 3 ∣

∣ 4 + 2 x ∣ = - 4 x