What is the answer to |4-2x|=2x+1 ?

The answer to |4-2x|=2x+1 is x= 3/4

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|4-2x|=2x+1

∣ 4 - 2 x ∣ = 2 x + 1

x = \frac{3}{4}

Decimal

x = 0.75

Solution steps

∣ 4 - 2 x ∣ = 2 x + 1

Find positive and negative intervals

x \leq 2, x > 2

Solve the inequality for each interval

x = \frac{3}{4} or No Solution

x = \frac{3}{4}

1 - 2 ∣ 3 x - 1 ∣ = - 4

∣ x + 2 ∣ = 3 ∣

∣ 8 x + 6 ∣ = 62

∣ 7 x - 4 ∣ - 2 = 0

∣ z - 4 ∣ = ∣ z + 9 ∣