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

The answer to ((x-4))/6 =((x+5))/5 is x=-50

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((x-4))/6 =((x+5))/5

\frac{( x - 4 )}{6} = \frac{( x + 5 )}{5}

x = - 50

Solution steps

\frac{( x - 4 )}{6} = \frac{( x + 5 )}{5}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x - 4) \cdot 5 = 6 (x + 5)

Expand

(x - 4) \cdot 5 : 5 x - 20

Expand

6 (x + 5) : 6 x + 30

5 x - 20 = 6 x + 30

Move

20

to the right side

5 x = 6 x + 50

Move

6 x

to the left side

- x = 50

Divide both sides by

- 1

x = - 50

x, 2 x + y + z = 3

7 x + 5 - 2 x = 8 + 4 x - 2

15 - 2 q = 3 + q

\frac{x - 1}{2} = \frac{x - 2}{3} + \frac{x - 3}{4}

x = \frac{5 + - 49}{6}

What is the answer to ((x-4))/6 =((x+5))/5 ?
The answer to ((x-4))/6 =((x+5))/5 is x=-50
Solve for x: ((x-4))/6 =((x+5))/5
The solution is x=-50