What is the answer to |4x-1|=5x+8 ?

The answer to |4x-1|=5x+8 is x=-7/9

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|4x-1|=5x+8

∣ 4 x - 1 ∣ = 5 x + 8

x = - \frac{7}{9}

Decimal

x = - 0.77777 \dots

Solution steps

∣ 4 x - 1 ∣ = 5 x + 8

Find positive and negative intervals

x < \frac{1}{4}, x \geq \frac{1}{4}

Solve the inequality for each interval

x = - \frac{7}{9} or No Solution

x = - \frac{7}{9}

∣ 15 x + 4 ∣ = ∣ - 9 x + 2 ∣

∣ 4 v + 6 ∣ = 2

\frac{2}{5} ∣ 3 d - 4 ∣ = 2 d + 4

∣ x - 2 ∣ + 9 = 13

∣ 4 x - 5 ∣ = 2 x + 1