What is the answer to |16-3x|=4x-12 ?

The answer to |16-3x|=4x-12 is x=4

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|16-3x|=4x-12

∣ 16 - 3 x ∣ = 4 x - 12

x = 4

Solution steps

∣ 16 - 3 x ∣ = 4 x - 12

Find positive and negative intervals

x \leq \frac{16}{3}, x > \frac{16}{3}

Solve the inequality for each interval

x = 4 or No Solution

x = 4

∣ - 7 + x ∣ = 6

∣ - 7 + x ∣ = 2

∣ 10 - 5 x ∣ = 20

∣ x - 8 ∣ = 2 x - 4

0 = ∣ 6 x - 3 ∣ - 21