Question

Simplify each expression by distributing and combining like terms
6(x + 1) – 5(x + 2)

Answer 1

`\boxed{ \bold{ \huge{ \boxed{ \sf{x - 9}}}}}`

Explanation:

`\star \: \sf{6( x + 1) - 5(x + 2)}`

Distribute 6 through the parentheses

Similarly, distribute -5 through the parentheses

`\dashrightarrow{ \sf{6x + 6 - 5x - 10}}`

Collect like terms

Like terms are those which have the same base

`\dashrightarrow{ \sf{6x - 5x + 6 - 10}}`

`\dashrightarrow{ \sf{x + 6 - 10}}`

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

`\dashrightarrow{ \boxed{ \sf{x - 4}}}`

Hope I helped!

Best regards! :D

Answer 2

x-4

Explanation:

6(x+1)-5(x+2)

=6x+6-5x-10

=x-4