What is the answer to 3-x=|1+3x| ?

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

Solve for x: 3-x=|1+3x|

The solution is x=-2\lor x= 1/2

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3 - x = ∣ 1 + 3 x ∣

x = - 2 or x = \frac{1}{2}

Decimal

x = - 2, x = 0.5

Solution steps

3 - x = ∣ 1 + 3 x ∣

Find positive and negative intervals

x < - \frac{1}{3}, x \geq - \frac{1}{3}

Solve the inequality for each interval

x = - 2 or x = \frac{1}{2}

x^{2} + 5 x + 0 = 0

x - 1 - \frac{x - 2}{2} + \frac{x - 3}{3} = 0

- 0.7 (w + 5) + 0.02 w = - 3.5

5 x - 7 (x - 1) = - 3 x + 8

12 x^{2} - 31 x + 20