Question

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

Answer 1

Answer:

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

Step-by-step explanation:

$\sf{ \frac{5}{6} = \frac{x - 10}{3x + 6} }$

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

⇒$\sf{ \frac{9x}{9} = \frac{ - 90}{9} }$

Calculate

⇒$\sf{x = - 10}$

Hope I helped!

Best regards!!