What is the answer to |5x-8|=3x ?

The answer to |5x-8|=3x is x=1\lor x=4

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|5x-8|=3x

∣ 5 x - 8 ∣ = 3 x

x = 1 or x = 4

Solution steps

∣ 5 x - 8 ∣ = 3 x

Find positive and negative intervals

x < \frac{8}{5}, x \geq \frac{8}{5}

Solve the inequality for each interval

x = 1 or x = 4

9 x^{2} - 18 x y + 9 y^{2}

x^{2} - 2 x = 59

5 x - 3 \cdot (9 - x) = 4

\frac{6}{3 ^{2}}

\frac{x + 3}{x - 2} \geq 2