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

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

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|x-3|=3x+5

∣ x - 3 ∣ = 3 x + 5

x = - \frac{1}{2}

Decimal Notation

x = - 0.5

Solution steps

∣ x - 3 ∣ = 3 x + 5

Find positive and negative intervals

x < 3, x \geq 3

Solve the inequality for each interval

x = - \frac{1}{2} or No Solution

x = - \frac{1}{2}

\frac{45 x ^{2}}{60 x ^{2} y}

\frac{3 ^{8}}{6 ^{8}}

∣ 2 x - 5 ∣ < 5

- 5 x = - 2 x + 6

- \frac{5 π}{3} - 2 π