What is the answer to 437=((x+7))/(2*3(-4+x)) ?

The answer to 437=((x+7))/(2*3(-4+x)) is x= 10495/2621

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437=((x+7))/(2*3(-4+x))

437 = \frac{( x + 7 )}{2 \cdot 3 ( - 4 + x )}

x = \frac{10495}{2621}

Decimal Notation

x = 4.00419 \dots

Solution steps

437 = \frac{( x + 7 )}{2 \cdot 3 ( - 4 + x )}

Simplify

\frac{x + 7}{2 \cdot 3 ( - 4 + x )} : \frac{x + 7}{6 ( - 4 + x )}

437 = \frac{x + 7}{6 ( - 4 + x )}

Multiply both sides by

- 4 + x

437 (- 4 + x) = \frac{x + 7}{6}

Multiply both sides by

6

2622 (- 4 + x) = x + 7

Expand

2622 (- 4 + x) : - 10488 + 2622 x

- 10488 + 2622 x = x + 7

Move

10488

to the right side

2622 x = x + 10495

Move

x

to the left side

2621 x = 10495

Divide both sides by

2621

x = \frac{10495}{2621}

Verify Solutions

Find undefined (singularity) points:

x = 4

Combine undefined points with solutions:

x = \frac{10495}{2621}

\frac{1}{2 x [ \frac{3}{4} + x ]} = - \frac{7}{10}

\frac{( n - 8 ) !}{( n - 9 ) !} = 9

\frac{9}{x ^{4}} + \frac{8}{x ^{2}} = 1

x, t = \frac{1}{( x - y )} \cdot (x + y)

a, a - c = \frac{( 2 ( a + b ) )}{a}

What is the answer to 437=((x+7))/(2*3(-4+x)) ?
The answer to 437=((x+7))/(2*3(-4+x)) is x= 10495/2621
Solve for x: 437=((x+7))/(2*3(-4+x))
The solution is x= 10495/2621