What is the answer to (7x+5)/4+6= x/8+(6-x)/9 ?

The answer to (7x+5)/4+6= x/8+(6-x)/9 is x=-474/125

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(7x+5)/4+6= x/8+(6-x)/9

\frac{7 x + 5}{4} + 6 = \frac{x}{8} + \frac{6 - x}{9}

x = - \frac{474}{125}

Decimal Notation

x = - 3.792

Solution steps

\frac{7 x + 5}{4} + 6 = \frac{x}{8} + \frac{6 - x}{9}

Multiply by LCM

18 (7 x + 5) + 432 = 9 x + 8 (- x + 6)

Expand

8 (- x + 6) : - 8 x + 48

126 x + 522 = 9 x - 8 x + 48

Add similar elements:

9 x - 8 x = x

126 x + 522 = x + 48

Expand

18 (7 x + 5) + 432 : 126 x + 522

126 x + 522 = x + 48

Move

522

to the right side

126 x = x - 474

Move

x

to the left side

125 x = - 474

Divide both sides by

125

x = - \frac{474}{125}

5 u - u + 3 u = 14

8 u - 8 u + u = 4

b, a = bh

3 (x + 2) = 18

16 + 13 x = 20 - x

What is the answer to (7x+5)/4+6= x/8+(6-x)/9 ?
The answer to (7x+5)/4+6= x/8+(6-x)/9 is x=-474/125
Solve for x: (7x+5)/4+6= x/8+(6-x)/9
The solution is x=-474/125