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

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

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|x|=x+5

∣ x ∣ = x + 5

x = - \frac{5}{2}

Solution steps

∣ x ∣ = x + 5

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

x = - \frac{5}{2} or No Solution

x = - \frac{5}{2}

- \frac{2 x}{( x + 1 ) ^{2} ( x - 1 ) ^{2}} < 0

8 (x + 7) = 104

\frac{4 x ^{3} y ^{2} + 6 x ^{2} y + 3 x}{5 x y}

45 = \frac{1}{2} x (4 x - 2)

\frac{x}{4} + 9 = 7