What is the answer to ((2x-7))/3+((8x-9))/(14)=((3x-5))/(21) ?

The answer to ((2x-7))/3+((8x-9))/(14)=((3x-5))/(21) is x= 5/2

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((2x-7))/3+((8x-9))/(14)=((3x-5))/(21)

\frac{( 2 x - 7 )}{3} + \frac{( 8 x - 9 )}{14} = \frac{( 3 x - 5 )}{21}

x = \frac{5}{2}

Decimal Notation

x = 2.5

Solution steps

\frac{( 2 x - 7 )}{3} + \frac{( 8 x - 9 )}{14} = \frac{( 3 x - 5 )}{21}

\frac{2 x - 7}{3} + \frac{8 x - 9}{14} = \frac{( 3 x - 5 )}{21}

Multiply by LCM

14 (2 x - 7) + 3 (8 x - 9) = 2 (3 x - 5)

Expand

14 (2 x - 7) + 3 (8 x - 9) : 52 x - 125

Expand

2 (3 x - 5) : 6 x - 10

52 x - 125 = 6 x - 10

Move

125

to the right side

52 x = 6 x + 115

Move

6 x

to the left side

46 x = 115

Divide both sides by

46

x = \frac{5}{2}

6 m + 3 = 9 - 5 m

- 2.3 = \frac{( x - 257 )}{16}

a, y = \frac{7 a}{9 b}

x, x + 1 = 2 y

X, X + 2 Y = 3

What is the answer to ((2x-7))/3+((8x-9))/(14)=((3x-5))/(21) ?
The answer to ((2x-7))/3+((8x-9))/(14)=((3x-5))/(21) is x= 5/2
Solve for x: ((2x-7))/3+((8x-9))/(14)=((3x-5))/(21)
The solution is x= 5/2