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

The answer to (5x-2)/3+(3x+2)/7 =2 is x= 25/22

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

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

x = \frac{25}{22}

Decimal Notation

x = 1.13636 \dots

Solution steps

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

Multiply by LCM

7 (5 x - 2) + 3 (3 x + 2) = 42

Expand

7 (5 x - 2) + 3 (3 x + 2) : 44 x - 8

44 x - 8 = 42

Move

8

to the right side

44 x = 50

Divide both sides by

44

x = \frac{25}{22}

y, 7 x - 3 y = 9

- 11 x = 7 - 3 (5 x - 3)

20 = 5 - \frac{3}{8} x

y, - 3 x + y = 1

18 = 5 - y

What is the answer to (5x-2)/3+(3x+2)/7 =2 ?
The answer to (5x-2)/3+(3x+2)/7 =2 is x= 25/22
Solve for x: (5x-2)/3+(3x+2)/7 =2
The solution is x= 25/22