What is the answer to |4x-6|=x+9 ?

The answer to |4x-6|=x+9 is x=-3/5 \lor x=5

Solve for x: |4x-6|=x+9

The solution is x=-3/5 \lor x=5

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∣ 4 x - 6 ∣ = x + 9

x = - \frac{3}{5} or x = 5

Decimal Notation

x = - 0.6, x = 5

Solution steps

∣ 4 x - 6 ∣ = x + 9

Find positive and negative intervals

x < \frac{3}{2}, x \geq \frac{3}{2}

Solve the inequality for each interval

x = - \frac{3}{5} or x = 5

\frac{∣ - 3 n ∣}{4} = 2

- 1 = - ∣ b ∣

6 ∣ - 2 x - 3 ∣ - 12 = 30

∣ 4 x - 6 ∣ = x - 3

∣ 4 x - 6 ∣ = x - 1