What is the answer to (3x+1)/4-(5x-2)/7 = 1/14 ?

The answer to (3x+1)/4-(5x-2)/7 = 1/14 is x=-13

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(3x+1)/4-(5x-2)/7 = 1/14

\frac{3 x + 1}{4} - \frac{5 x - 2}{7} = \frac{1}{14}

x = - 13

Solution steps

\frac{3 x + 1}{4} - \frac{5 x - 2}{7} = \frac{1}{14}

Multiply by LCM

7 (3 x + 1) - 4 (5 x - 2) = 2

Expand

7 (3 x + 1) - 4 (5 x - 2) : x + 15

x + 15 = 2

Move

15

to the right side

x = - 13

2 - 11 x^{2} - 8 x + 9 x^{2}

676

12 y^{2} + 7 y + 1

3 x^{2} - 2 x

x^{2} - 6 x = 12

What is the answer to (3x+1)/4-(5x-2)/7 = 1/14 ?
The answer to (3x+1)/4-(5x-2)/7 = 1/14 is x=-13
Solve for x: (3x+1)/4-(5x-2)/7 = 1/14
The solution is x=-13