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

The answer to 2|x-3|+x=8 is x=-2\lor x= 14/3

Solve for x: 2|x-3|+x=8

The solution is x=-2\lor x= 14/3

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2 ∣ x - 3 ∣ + x = 8

x = - 2 or x = \frac{14}{3}

Decimal Notation

x = - 2, x = 4.66666 \dots

Solution steps

2 ∣ x - 3 ∣ + x = 8

Find positive and negative intervals

x < 3, x \geq 3

Solve the inequality for each interval

x = - 2 or x = \frac{14}{3}

∣ 3 x - 15 ∣ = 8

∣ 3 x - 15 ∣ = 0

\frac{1}{2} x - 5 = 11

∣ 15 - 5 x ∣ = 70

∣ 3 x + 6 ∣ + 3 = 21