What is the answer to 1/2 |6-2x|=3x+1 ?

The answer to 1/2 |6-2x|=3x+1 is x= 1/2

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1/2 |6-2x|=3x+1

\frac{1}{2} ∣ 6 - 2 x ∣ = 3 x + 1

x = \frac{1}{2}

Decimal

x = 0.5

Solution steps

\frac{1}{2} ∣ 6 - 2 x ∣ = 3 x + 1

Find positive and negative intervals

x \leq 3, x > 3

Solve the inequality for each interval

x = \frac{1}{2} or No Solution

x = \frac{1}{2}

∣ 2 x ∣ + 8 = 24

4 - 6 ∣ 3 - 5 a ∣ = - 104

- 2 ∣ 7 - 3 b ∣ - 6 = - 6

6 ∣ y ∣ = 24

∣ 4 x + 6 ∣ = 18