What is the answer to |8-3x|=3x-7 ?

The answer to |8-3x|=3x-7 is x= 5/2

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|8-3x|=3x-7

∣ 8 - 3 x ∣ = 3 x - 7

x = \frac{5}{2}

Decimal Notation

x = 2.5

Solution steps

∣ 8 - 3 x ∣ = 3 x - 7

Find positive and negative intervals

x \leq \frac{8}{3}, x > \frac{8}{3}

Solve the inequality for each interval

x = \frac{5}{2} or No Solution

x = \frac{5}{2}

x^{2} - 5 x = x^{2} - 3

∣ 7 x - 9 ∣ = 12

8 - 4 ∣ 2 x - 1 ∣ = - 16

- ∣ 9 v - 2 ∣ + 3 = - 76

- 5 ∣ 4 n + 6 ∣ + 2 = - 8