Question

13. – 5x – 10 = 2-2(x – 4)

Answer 1

`\boxed{ \boxed{ \bold{ \purple{ - 6.67}}}}`

Explanation:

`\sf{ - 5x - 10 = 2 - 2(x - 4)}`

Distribute 2 through the parentheses

⇒
`\sf{ - 5x - 10 = 2 - 2x + 8}`

Move constant to right hand side and change it's sign

Similarly , Move variable to left hand side and change it's sign

⇒
`\sf{ - 5x + 2x = 2 + 8 + 10}`

Collect like terms

⇒
`\sf{ - 3x = 2 + 8 + 10}`

Add the numbers

⇒
`\sf{ - 3x = 20}`

Divide both sides of the equation by -3

⇒
`\sf{ ( - 3x)/( - 3) = (20)/( - 3) }`

Calculate

⇒
`\sf{x = - 6.67}`

Hope I helped !

best regards!!