What is the answer to 5/(x+4)=4+3/(x-2) ?

The answer to 5/(x+4)=4+3/(x-2) is x=1,x=-5/2

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5/(x+4)=4+3/(x-2)

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

x = 1, x = - \frac{5}{2}

Decimal

x = 1, x = - 2.5

Solution steps

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

Multiply by LCM

5 (x - 2) = 4 (x + 4) (x - 2) + 3 (x + 4)

Solve

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

x = 1, x = - \frac{5}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 4, x = 2

Combine undefined points with solutions:

x = 1, x = - \frac{5}{2}

0.2 = \frac{6 + 2 x}{12 + x}

\frac{48}{n} = 6

\frac{8}{( x + 8 ) ^{2}} = 7

8 - \frac{6}{x ^{2}} = 0

\frac{6 x + 6}{7 x + 5} = 2 - x

What is the answer to 5/(x+4)=4+3/(x-2) ?
The answer to 5/(x+4)=4+3/(x-2) is x=1,x=-5/2
Solve for x: 5/(x+4)=4+3/(x-2)
The solution is x=1,x=-5/2