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

The answer to x+|3-2x|=4 is x=-1\lor x= 7/3

Solve for x: x+|3-2x|=4

The solution is x=-1\lor x= 7/3

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x + ∣ 3 - 2 x ∣ = 4

x = - 1 or x = \frac{7}{3}

Decimal Notation

x = - 1, x = 2.33333 \dots

Solution steps

x + ∣ 3 - 2 x ∣ = 4

Find positive and negative intervals

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

Solve the inequality for each interval

x = - 1 or x = \frac{7}{3}

∣ x + 3 ∣ = 7 x - 4

∣ 1 - 5 x ∣ = 6

∣ 1 - 3 x ∣ + x = - 3

- 2 ∣ x - 4 ∣ + 6 = - 8

3 ∣ 7 w + 15 ∣ = - 6 w