What is the answer to (x+1)/(35)+(x+3)/(33)=(x+5)/(31)+(x+7)/(29) ?

The answer to (x+1)/(35)+(x+3)/(33)=(x+5)/(31)+(x+7)/(29) is x=-36

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(x+1)/(35)+(x+3)/(33)=(x+5)/(31)+(x+7)/(29)

\frac{x + 1}{35} + \frac{x + 3}{33} = \frac{x + 5}{31} + \frac{x + 7}{29}

x = - 36

Solution steps

\frac{x + 1}{35} + \frac{x + 3}{33} = \frac{x + 5}{31} + \frac{x + 7}{29}

Multiply by LCM

29667 (x + 1) + 31465 (x + 3) = 33495 (x + 5) + 35805 (x + 7)

Expand

29667 (x + 1) + 31465 (x + 3) : 61132 x + 124062

Expand

33495 (x + 5) + 35805 (x + 7) : 69300 x + 418110

61132 x + 124062 = 69300 x + 418110

Move

124062

to the right side

61132 x = 69300 x + 294048

Move

69300 x

to the left side

- 8168 x = 294048

Divide both sides by

- 8168

x = - 36

2 x + 5 - 9 + x > 0

\frac{a ^{2} - b ^{2}}{a - b}

(x + 3) 2 + 6 (x + 3) + 5 = 0

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

81 x^{2} - 9 y^{2}

What is the answer to (x+1)/(35)+(x+3)/(33)=(x+5)/(31)+(x+7)/(29) ?
The answer to (x+1)/(35)+(x+3)/(33)=(x+5)/(31)+(x+7)/(29) is x=-36
Solve for x: (x+1)/(35)+(x+3)/(33)=(x+5)/(31)+(x+7)/(29)
The solution is x=-36