What is the answer to (x+6)/(x+3)=2-(5x+12)/(x+3) ?

The answer to (x+6)/(x+3)=2-(5x+12)/(x+3) is No Solution

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(x+6)/(x+3)=2-(5x+12)/(x+3)

\frac{x + 6}{x + 3} = 2 - \frac{5 x + 12}{x + 3}

No Solution

Solution steps

\frac{x + 6}{x + 3} = 2 - \frac{5 x + 12}{x + 3}

Multiply both sides by

x + 3

x + 6 = 2 (x + 3) - (5 x + 12)

Expand

2 (x + 3) - (5 x + 12) : - 3 x - 6

x + 6 = - 3 x - 6

Move

6

to the right side

x = - 3 x - 12

Move

3 x

to the left side

4 x = - 12

Divide both sides by

4

x = - 3

Verify Solutions

Find undefined (singularity) points:

x = - 3

Since the equation is undefined for:

- 3

No Solution

\frac{7}{x} - \frac{1}{3 x} = \frac{5}{3}

\frac{4 x - 3}{x - 6} - \frac{x - 5}{x - 2} = 0

\frac{1}{x} + \frac{1}{x + 2} = \frac{12}{5}

\frac{x + 8}{2 x ^{2} - 18} - \frac{2}{x - 3} = 1

- 3 - \frac{8}{x - 6} = - \frac{7}{x - 6}

What is the answer to (x+6)/(x+3)=2-(5x+12)/(x+3) ?
The answer to (x+6)/(x+3)=2-(5x+12)/(x+3) is No Solution
Solve for x: (x+6)/(x+3)=2-(5x+12)/(x+3)
The solution is No Solution