What is the answer to -3|x-2|+4=6x+19 ?

The answer to -3|x-2|+4=6x+19 is x=-7

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-3|x-2|+4=6x+19

- 3 ∣ x - 2 ∣ + 4 = 6 x + 19

x = - 7

Solution steps

- 3 ∣ x - 2 ∣ + 4 = 6 x + 19

Find positive and negative intervals

x < 2, x \geq 2

Solve the inequality for each interval

x = - 7 or No Solution

x = - 7

∣ x ∣ = b

∣ x ∣ = a

1 = ∣ x - 1 ∣ + 1

x, a = ∣ x - 1 ∣ + ∣ y - 3 ∣

\frac{1}{3} ∣ x + 6 ∣ - 5 = 7