What is the answer to (x+1)/3 =5-(x+2)/7 ?

The answer to (x+1)/3 =5-(x+2)/7 is x= 46/5

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(x+1)/3 =5-(x+2)/7

\frac{x + 1}{3} = 5 - \frac{x + 2}{7}

x = \frac{46}{5}

Solution steps

\frac{x + 1}{3} = 5 - \frac{x + 2}{7}

Multiply by LCM

7 (x + 1) = 105 - 3 (x + 2)

Expand

7 (x + 1) : 7 x + 7

Expand

105 - 3 (x + 2) : - 3 x + 99

7 x + 7 = - 3 x + 99

Move

7

to the right side

7 x = - 3 x + 92

Move

3 x

to the left side

10 x = 92

Divide both sides by

10

x = \frac{46}{5}

10 x - 15 x^{3}

8 x + 4 = 4 (2 x + 1)

3 a - 3 b - 4 a + 4 b

x^{2} - x - 6 \geq 0

What is the answer to (x+1)/3 =5-(x+2)/7 ?
The answer to (x+1)/3 =5-(x+2)/7 is x= 46/5
Solve for x: (x+1)/3 =5-(x+2)/7
The solution is x= 46/5