What is the answer to |5x|=6-x ?

The answer to |5x|=6-x is x=-3/2 \lor x=1

Solve for x: |5x|=6-x

The solution is x=-3/2 \lor x=1

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∣ 5 x ∣ = 6 - x

x = - \frac{3}{2} or x = 1

Decimal Notation

x = - 1.5, x = 1

Solution steps

∣ 5 x ∣ = 6 - x

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

x = - \frac{3}{2} or x = 1

∣ 2 a x - b ∣ = 3 b

∣ 7 x + 3 ∣ = x

\frac{2}{3} - x = 1

∣ 2 x + 5 ∣ = 1

∣ x + 9 ∣ = 15