What is the answer to |3-2x|-5=4x ?

The answer to |3-2x|-5=4x is x=-1/3

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|3-2x|-5=4x

∣ 3 - 2 x ∣ - 5 = 4 x

x = - \frac{1}{3}

Decimal Notation

x = - 0.33333 \dots

Solution steps

∣ 3 - 2 x ∣ - 5 = 4 x

Find positive and negative intervals

x \leq \frac{3}{2}, x > \frac{3}{2}

Solve the inequality for each interval

x = - \frac{1}{3} or No Solution

x = - \frac{1}{3}

4 ∣ x - 3 ∣ + 1 = 1

∣ w ∣ = - 3

∣ 5 x - 1 ∣ = 3 x + 7

∣ 3 x - 2 ∣ + x = 11

∣ 5 x + 3 ∣ = - 4