Answer:
[tex] \huge{ \bold{ \huge{ \boxed{ \sf{x = 4}}}}} [/tex]
Step-by-step explanation:
[tex] \sf{ - 5(x - 2) = - (x + 6)}[/tex]
Distribute -5 through the parentheses in left hand side
Similarly, distribute ( - ) sign through the parentheses in right hand side
[tex] \longrightarrow{ \sf{ - 5x + 10 = - x - 6}}[/tex]
Move x to left hand hand side and change it's sign
Similarly, move 10 to right hand side and change it's sign
[tex] \longrightarrow{ \sf{ - 5x + x = - 6 - 10}}[/tex]
Collect like terms
[tex] \longrightarrow{ \sf{ - 4x = - 6 - 10}}[/tex]
The negative integers are always added but posses the negative ( - ) sign
[tex] \longrightarrow{ \sf{ - 4x = - 16}}[/tex]
Divide both sides by -4
[tex] \longrightarrow{ \sf{ \frac{ - 4x}{ - 4} = \frac{ - 16}{ - 4}}} [/tex]
Calculate
[tex] \longrightarrow{ \sf{x = 4}}[/tex]
Hope I helped!
Best regards! :D
