What is the answer to |a-4|=3a-6 ?

The answer to |a-4|=3a-6 is a= 5/2

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|a-4|=3a-6

∣ a - 4 ∣ = 3 a - 6

a = \frac{5}{2}

Decimal Notation

a = 2.5

Solution steps

∣ a - 4 ∣ = 3 a - 6

Find positive and negative intervals

a < 4, a \geq 4

Solve the inequality for each interval

a = \frac{5}{2} or No Solution

a = \frac{5}{2}

7 + 3 ∣ 2 x + 8 ∣ = 19

∣ x - 4 ∣ = 6

∣ 11 - 4 b ∣ = 18

- 5 ∣ 3 z + 8 ∣ - 5 = - 20

1 = ∣ - 6 + 5 b ∣