What is the answer to |x+6|=2x-3 ?

The answer to |x+6|=2x-3 is x=9

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|x+6|=2x-3

∣ x + 6 ∣ = 2 x - 3

x = 9

Solution steps

∣ x + 6 ∣ = 2 x - 3

Find positive and negative intervals

x < - 6, x \geq - 6

Solve the inequality for each interval

No Solution or x = 9

x = 9

x + x^{2} - 4 x + 5 = 3

\frac{64}{49}

x^{2} + 4 x + 8 = 0

1 \leq \frac{4 x - 5}{- 2} < 9

\frac{3 x - 5}{4} = \frac{x + 1}{2}