Answer:
Step-by-step explanation:
[tex] \sf{ - 5x - 10 = 2 - 2(x - 4)}[/tex]
Distribute 2 through the parentheses
⇒[tex] \sf{ - 5x - 10 = 2 - 2x + 8}[/tex]
Move constant to right hand side and change it's sign
Similarly , Move variable to left hand side and change it's sign
⇒[tex] \sf{ - 5x + 2x = 2 + 8 + 10}[/tex]
Collect like terms
⇒[tex] \sf{ - 3x = 2 + 8 + 10}[/tex]
Add the numbers
⇒[tex] \sf{ - 3x = 20}[/tex]
Divide both sides of the equation by -3
⇒[tex] \sf{ \frac{ - 3x}{ - 3} = \frac{20}{ - 3} }[/tex]
Calculate
⇒[tex] \sf{x = - 6.67}[/tex]
Hope I helped !
best regards!!