What is the answer to 6x+4=|x-8| ?

The answer to 6x+4=|x-8| is x= 4/7

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6x+4=|x-8|

6 x + 4 = ∣ x - 8 ∣

x = \frac{4}{7}

Decimal Notation

x = 0.57142 \dots

Solution steps

6 x + 4 = ∣ x - 8 ∣

Find positive and negative intervals

x < 8, x \geq 8

Solve the inequality for each interval

x = \frac{4}{7} or No Solution

x = \frac{4}{7}

∣ 2 x - 11 ∣ - 6 = - 5

3 ∣ 4 x + 6 ∣ = 24

- 3 ∣ x + 4 ∣ = 12

- 6 ∣ - 6 k - 6 ∣ = - 72

- 2 ∣ x + 4 ∣ = - 1