What is the answer to |5x+16|=|3x+48| ?

The answer to |5x+16|=|3x+48| is x=-8\lor x=16

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|5x+16|=|3x+48|

∣ 5 x + 16 ∣ = ∣ 3 x + 48 ∣

x = - 8 or x = 16

Solution steps

∣ 5 x + 16 ∣ = ∣ 3 x + 48 ∣

Find positive and negative intervals

x < - 16, - 16 \leq x < - \frac{16}{5}, x \geq - \frac{16}{5}

Solve the inequality for each interval

No Solution or x = - 8 or x = 16

x = - 8 or x = 16

∣ x - 1 ∣ + ∣ 2 x + 4 ∣ = 5

∣ a + 2 ∣ = 3 + a

∣ 2 x + 4 ∣ + ∣ x - 5 ∣ = 2 x

∣ x - 1 ∣ - ∣ 2 x - 5 ∣ = 2 x

x^{2} - 3 ∣ x ∣ + 2 = 0

What is the answer to |5x+16|=|3x+48| ?
The answer to |5x+16|=|3x+48| is x=-8\lor x=16
Solve for x: |5x+16|=|3x+48|
The solution is x=-8\lor x=16