What is the answer to |4x+3|=5x-21 ?

The answer to |4x+3|=5x-21 is x=24

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|4x+3|=5x-21

∣ 4 x + 3 ∣ = 5 x - 21

x = 24

Solution steps

∣ 4 x + 3 ∣ = 5 x - 21

Find positive and negative intervals

x < - \frac{3}{4}, x \geq - \frac{3}{4}

Solve the inequality for each interval

No Solution or x = 24

x = 24

0 = ∣ x - 5 ∣

∣ 2 x + 5 ∣ = - 1

∣ 2 x + 5 ∣ = - 5

∣ x ∣ = - x, x < 0

∣ 3 k ∣ - 6 = - 6