What is the answer to (x+4)/2-3/(x-3)=1 ?

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

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(x+4)/2-3/(x-3)=1

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

x = 4, x = - 3

Solution steps

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

Multiply by LCM

(x + 4) (x - 3) - 6 = 2 (x - 3)

Solve

(x + 4) (x - 3) - 6 = 2 (x - 3) : x = 4, x = - 3

x = 4, x = - 3

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = 4, x = - 3

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

\frac{4}{x} = \frac{4}{3 x} + 1

y, x = \frac{8 y}{9 y + 5}

\frac{4 x}{x + 2} = 6 - \frac{8}{x + 2}

\frac{6 x}{x + 1} = \frac{4}{9}

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