Question

Solve the equation -5(x-2)=-(x+6)

Answer 1

`\huge{ \bold{ \huge{ \boxed{ \sf{x = 4}}}}}`

Explanation:

`\sf{ - 5(x - 2) = - (x + 6)}`

Distribute -5 through the parentheses in left hand side

Similarly, distribute ( - ) sign through the parentheses in right hand side

`\longrightarrow{ \sf{ - 5x + 10 = - x - 6}}`

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

Similarly, move 10 to right hand side and change it's sign

`\longrightarrow{ \sf{ - 5x + x = - 6 - 10}}`

Collect like terms

`\longrightarrow{ \sf{ - 4x = - 6 - 10}}`

The negative integers are always added but posses the negative ( - ) sign

`\longrightarrow{ \sf{ - 4x = - 16}}`

Divide both sides by -4

`\longrightarrow{ \sf{ ( - 4x)/( - 4) = ( - 16)/( - 4)}}`

Calculate

`\longrightarrow{ \sf{x = 4}}`

Hope I helped!

Best regards! :D

Answer 2

Steps to solve:

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

~Simplify both sides

-5x + 10 = -x - 6

~Subtract 10 to both sides

-5x = -x - 16

~Add x to both sides

-4x = -16

~Divide -4 to both sides

x = 4

Best Of Luck!