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

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

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

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

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∣ 3 - 2 x ∣ + x = 4

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

Decimal Notation

x = - 1, x = 2.33333 \dots

Solution steps

∣ 3 - 2 x ∣ + 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}

∣ - 4 + 12 x ∣ = 7

3 ∣ 4 x - 9 ∣ = 12

- 2 ∣ 2 x + 6 ∣ = - 8

∣ - 6 + x ∣ = 9

∣ 3 x - 1 ∣ = 2 x + 2