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

The answer to |3x-5|=2-x is x= 3/2 \lor x= 7/4

Solve for x: |3x-5|=2-x

The solution is x= 3/2 \lor x= 7/4

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∣ 3 x - 5 ∣ = 2 - x

x = \frac{3}{2} or x = \frac{7}{4}

Decimal Notation

x = 1.5, x = 1.75

Solution steps

∣ 3 x - 5 ∣ = 2 - x

Find positive and negative intervals

x < \frac{5}{3}, x \geq \frac{5}{3}

Solve the inequality for each interval

x = \frac{3}{2} or x = \frac{7}{4}

5 ∣ x - 4 ∣ - 9 = 2

∣ 3 x + 5 ∣ + 8 = 7

- 3 = ∣ x ∣

\frac{1}{5} ∣ x - 3 ∣ = 18

∣ 4 x + 3 ∣ + 5 = 3

What is the answer to |3x-5|=2-x ?
The answer to |3x-5|=2-x is x= 3/2 \lor x= 7/4
Solve for x: |3x-5|=2-x
The solution is x= 3/2 \lor x= 7/4