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

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

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

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

x = 2, x = - 1

Solution steps

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

Cross multiply

(x - 4) (x + 3) = - 10

Solve

(x - 4) (x + 3) = - 10 : x = 2, x = - 1

x = 2, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = - 3

Combine undefined points with solutions:

x = 2, x = - 1

\frac{2}{3} = \frac{8}{x + 6}

x, u = \frac{x + y}{k x}

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

\frac{8}{x} = 1

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

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