What is the answer to (6(x-11))/5 =(5(x+11))/6 ?

The answer to (6(x-11))/5 =(5(x+11))/6 is x=61

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(6(x-11))/5 =(5(x+11))/6

\frac{6 ( x - 11 )}{5} = \frac{5 ( x + 11 )}{6}

x = 61

Solution steps

\frac{6 ( x - 11 )}{5} = \frac{5 ( x + 11 )}{6}

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

6 (x - 11) \cdot 6 = 5 \cdot 5 (x + 11)

Simplify

36 (x - 11) = 25 (x + 11)

Expand

36 (x - 11) : 36 x - 396

Expand

25 (x + 11) : 25 x + 275

36 x - 396 = 25 x + 275

Move

396

to the right side

36 x = 25 x + 671

Move

25 x

to the left side

11 x = 671

Divide both sides by

11

x = 61

\frac{3}{6} + \frac{10}{12}

(\frac{1}{2} c^{3} d)^{5}

15 - 7 z \geq 0

20 y^{4} - 15 y^{3} + 30 y^{2}

What is the answer to (6(x-11))/5 =(5(x+11))/6 ?
The answer to (6(x-11))/5 =(5(x+11))/6 is x=61
Solve for x: (6(x-11))/5 =(5(x+11))/6
The solution is x=61