What is the answer to s/(s+2)+s=(5s+8)/(s+2) ?

The answer to s/(s+2)+s=(5s+8)/(s+2) is s=4

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s/(s+2)+s=(5s+8)/(s+2)

\frac{s}{s + 2} + s = \frac{5 s + 8}{s + 2}

s = 4

Solution steps

\frac{s}{s + 2} + s = \frac{5 s + 8}{s + 2}

Multiply both sides by

s + 2

s + s (s + 2) = 5 s + 8

Solve

s + s (s + 2) = 5 s + 8 : s = 4, s = - 2

s = 4, s = - 2

Verify Solutions

Find undefined (singularity) points:

s = - 2

Since the equation is undefined for:

- 2

s = 4

\frac{2.3}{x} = \frac{4}{5}

x - \frac{2 x}{x - 2} = \frac{5}{x - 2}

x + \frac{3}{x - 3} = \frac{x}{x - 3}

y, x^{2} = \frac{x + 2 y}{x - 2 y}

t, \frac{h}{g} = \frac{4 R}{t}

What is the answer to s/(s+2)+s=(5s+8)/(s+2) ?
The answer to s/(s+2)+s=(5s+8)/(s+2) is s=4
Solve for s: s/(s+2)+s=(5s+8)/(s+2)
The solution is s=4