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

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

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

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

x = 2

Solution steps

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

Multiply by LCM

x^{2} + 5 x - 6 = x^{2} + 2 x

Move

6

to the right side

x^{2} + 5 x = x^{2} + 2 x + 6

Subtract

x^{2} + 2 x

from both sides

x^{2} + 5 x - (x^{2} + 2 x) = x^{2} + 2 x + 6 - (x^{2} + 2 x)

Simplify

3 x = 6

Divide both sides by

3

x = 2

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = 2

u + 22 = 13 - \frac{18}{u}

1 - \frac{5}{x} = - 4 x

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

\frac{8.4}{4.8} = \frac{6.3}{k}

\frac{1}{t ^{2}} - 16 = 0

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