What is the answer to | 3/5 x+2|-1/2 =4 ?

The answer to | 3/5 x+2|-1/2 =4 is x=-65/6 \lor x= 25/6

Solve for x: | 3/5 x+2|-1/2 =4

The solution is x=-65/6 \lor x= 25/6

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

x = - \frac{65}{6} or x = \frac{25}{6}

Decimal Notation

x = - 10.83333 \dots, x = 4.16666 \dots

Solution steps

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

Move

\frac{1}{2}

to the right side

\frac{3}{5} x + 2 = \frac{9}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{3}{5} x + 2 = - \frac{9}{2} or \frac{3}{5} x + 2 = \frac{9}{2}

\frac{3}{5} x + 2 = - \frac{9}{2} or \frac{3}{5} x + 2 = \frac{9}{2}

x = - \frac{65}{6} or x = \frac{25}{6}

2 x^{2} - x = 3

\frac{n}{24} = - 2

2^{9} - 1

\frac{32}{9}

p - 5 (p + 4) = p - (8 - p)

What is the answer to | 3/5 x+2|-1/2 =4 ?
The answer to | 3/5 x+2|-1/2 =4 is x=-65/6 \lor x= 25/6
Solve for x: | 3/5 x+2|-1/2 =4
The solution is x=-65/6 \lor x= 25/6