What is the answer to 7+|x-8|=-2x+4 ?

The answer to 7+|x-8|=-2x+4 is x=-11

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7+|x-8|=-2x+4

7 + ∣ x - 8 ∣ = - 2 x + 4

x = - 11

Solution steps

7 + ∣ x - 8 ∣ = - 2 x + 4

Find positive and negative intervals

x < 8, x \geq 8

Solve the inequality for each interval

x = - 11 or No Solution

x = - 11

∣ 3 x + 9 ∣ = 30

∣ 2 - 2 t ∣ + 6 = 12

6 + ∣ 2 x - 11 ∣ = 37

∣ 3 x - 4 ∣ - 5 = 0

\frac{x}{9} = 3