What is the answer to | x/4+2/5 |=5 ?

The answer to | x/4+2/5 |=5 is x=-108/5 \lor x= 92/5

Solve for x: | x/4+2/5 |=5

The solution is x=-108/5 \lor x= 92/5

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\frac{x}{4} + \frac{2}{5} = 5

x = - \frac{108}{5} or x = \frac{92}{5}

Solution steps

\frac{x}{4} + \frac{2}{5} = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{x}{4} + \frac{2}{5} = - 5 or \frac{x}{4} + \frac{2}{5} = 5

\frac{x}{4} + \frac{2}{5} = - 5 or \frac{x}{4} + \frac{2}{5} = 5

x = - \frac{108}{5} or x = \frac{92}{5}

\frac{7}{3} (2 x - 1) = \frac{1}{5} x + \frac{2}{5} (4 - 3 x)

(x - 5) (x - 2) (x + 1) > 0

x y + 6 y - 8 x - 48

(- \frac{45}{49}) (\frac{48}{18})

x^{19}

What is the answer to | x/4+2/5 |=5 ?
The answer to | x/4+2/5 |=5 is x=-108/5 \lor x= 92/5
Solve for x: | x/4+2/5 |=5
The solution is x=-108/5 \lor x= 92/5