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

Answer:

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

Step-by-step 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