Question

5/6=x-10/3x+6 solution?

Answer 1

`\boxed{ \bold{ \huge{ \boxed{ \sf{x = - 10}}}}}`

Explanation:

`\sf{ (5)/(6) = (x - 10)/(3x + 6) }`

Apply cross product property

⇒
`\sf{5(3x + 6) = 6( x - 10)}`

Distribute 5 through the parentheses

⇒
`\sf{15x + 30 = 6( x - 10)}`

Distribute 6 through the parentheses

⇒
`\sf{15x + 30 = 6x - 60}`

Move 6x to left hand side and change it's sign

⇒
`\sf{15x - 6x + 30 = - 60}`

Collect like terms

⇒
`\sf{9x + 30 = - 60}`

Move 30 to right hand side and change it's sign

⇒
`\sf{9x = - 60 - 30}`

Calculate

⇒
`\sf{9x = - 90}`

Divide both sides of the equation by 9

⇒
`\sf{ (9x)/(9) = ( - 90)/(9) }`

Calculate

⇒
`\sf{x = - 10}`

Hope I helped!

Best regards!!