What is the answer to (2x+7}{10}+\frac{2x+5)/6 =x+9 ?

The answer to (2x+7}{10}+\frac{2x+5)/6 =x+9 is x=-16

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(2x+7}{10}+\frac{2x+5)/6 =x+9

\frac{2 x + 7}{10} + \frac{2 x + 5}{6} = x + 9

x = - 16

Solution steps

\frac{2 x + 7}{10} + \frac{2 x + 5}{6} = x + 9

Multiply by LCM

3 (2 x + 7) + 5 (2 x + 5) = 30 x + 270

Expand

3 (2 x + 7) + 5 (2 x + 5) : 16 x + 46

16 x + 46 = 30 x + 270

Move

46

to the right side

16 x = 30 x + 224

Move

30 x

to the left side

- 14 x = 224

Divide both sides by

- 14

x = - 16

- 6 x + 3 x = 15

y, \frac{13}{5} x + \frac{12}{13} y - 13 = 0

y, 3 x + y = 18

y, 3 x + y = - 9

\frac{1}{0} = \infty

What is the answer to (2x+7}{10}+\frac{2x+5)/6 =x+9 ?
The answer to (2x+7}{10}+\frac{2x+5)/6 =x+9 is x=-16
Solve for x: (2x+7}{10}+\frac{2x+5)/6 =x+9
The solution is x=-16