Question

-(1+7x)-6(-7-x)=36 I don't understand how to do this.

Answer 1

edit: nevermind i multiplied wrong, the other answer is right

Answer 2

`\boxed{ \bold{ \huge{ \boxed{ \sf{x = 5}}}}}`

Explanation:

`\sf{ - (1 + 7x) - 6( - 7 - x) = 36}`

Distribute ( - ) sign through the parentheses

Similarly, distribute -6 through the parentheses

`\dashrightarrow{ \sf{ - 1 - 7x + 42 + 6x = 36}}`

Collect like terms

`\dashrightarrow \sf - 7x + 6x - 1 + 42 = 36`

`\dashrightarrow \: \sf \: - x - 1 + 42 = 36`

The negative and positive integers are always subtracted but possess the sign of the bigger integer

`\dashrightarrow{ \sf{ - x + 41 = 36}}`

Move 41 to right hand side and change it's sign

`\dashrightarrow{\sf{- x = 36 - 41}}`

`\dashrightarrow \sf \: - x = - 5`

Change the signs on both sides of the equation

`\dashrightarrow \: \sf{x = 5}`

Hope I helped!

Best regards! :D