What is the answer to (2x+9)/5-(3x-6)/4 =(7x-3)/(10) ?

The answer to (2x+9)/5-(3x-6)/4 =(7x-3)/(10) is x= 24/7

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(2x+9)/5-(3x-6)/4 =(7x-3)/(10)

\frac{2 x + 9}{5} - \frac{3 x - 6}{4} = \frac{7 x - 3}{10}

x = \frac{24}{7}

Decimal Notation

x = 3.42857 \dots

Solution steps

\frac{2 x + 9}{5} - \frac{3 x - 6}{4} = \frac{7 x - 3}{10}

Multiply by LCM

4 (2 x + 9) - 5 (3 x - 6) = 2 (7 x - 3)

Expand

4 (2 x + 9) - 5 (3 x - 6) : - 7 x + 66

Expand

2 (7 x - 3) : 14 x - 6

- 7 x + 66 = 14 x - 6

Move

66

to the right side

- 7 x = 14 x - 72

Move

14 x

to the left side

- 21 x = - 72

Divide both sides by

- 21

x = \frac{24}{7}

x, 3 x - 2 y + 7 = 0

x, 3 x - 2 y + 4 = 0

- 2 (3 z + 8) = \frac{1}{3} (9 - 18 z)

7 (x + 4) = 5 (x + 6) + 6

5 x + 6 = 21

What is the answer to (2x+9)/5-(3x-6)/4 =(7x-3)/(10) ?
The answer to (2x+9)/5-(3x-6)/4 =(7x-3)/(10) is x= 24/7
Solve for x: (2x+9)/5-(3x-6)/4 =(7x-3)/(10)
The solution is x= 24/7