What is the answer to |x+3|=4-5x ?

The answer to |x+3|=4-5x is x= 1/6

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|x+3|=4-5x

∣ x + 3 ∣ = 4 - 5 x

x = \frac{1}{6}

Decimal Notation

x = 0.16666 \dots

Solution steps

∣ x + 3 ∣ = 4 - 5 x

Find positive and negative intervals

x < - 3, x \geq - 3

Solve the inequality for each interval

No Solution or x = \frac{1}{6}

x = \frac{1}{6}

∣ 9 x ∣ = 81

∣ 9 - 10 n ∣ = 61

3 ∣ x + 6 ∣ = 36

\frac{∣ k + 7 ∣}{6} = 2

∣ x + 5 ∣ = - 2