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

The answer to 3+|x-3|=4x is x= 6/5

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3+|x-3|=4x

3 + ∣ x - 3 ∣ = 4 x

x = \frac{6}{5}

Decimal Notation

x = 1.2

Solution steps

3 + ∣ x - 3 ∣ = 4 x

Find positive and negative intervals

x < 3, x \geq 3

Solve the inequality for each interval

x = \frac{6}{5} or No Solution

x = \frac{6}{5}

3 ∣ x + 2 ∣ = 18

∣ t + 8 ∣ = 11

∣ 2 x - 9 ∣ = 7

∣ 3 x + 8 ∣ = 6

∣ 3 x - 2 ∣ = 10