Question

`-2(3 - 2x) = -6x + 8(x + 2)`
solve step by step​

Answer 1

`\boxed{ \bold{ \huge{ \boxed{ \sf{x = 11}}}}}`

Explanation:

`\sf{ - 2(3 - 2x) = - 6x + 8(x + 2)}`

Distribute -2 through the parentheses

Similarly, Distribute 8 through the parentheses

`\dashrightarrow{ \sf{ - 6 + 4x = - 6x + 8x + 16}}`

Collect like terms

`\dashrightarrow{ \sf{ - 6 + 4x = 2x + 16}}`

Move 2x to left hand side and change it's sign

Similarly, move 6 to right hand side and change it's sign

`\dashrightarrow{ \sf{4x - 2x = 16 + 6}}`

Collect like terms

`\dashrightarrow{ \sf{2x = 16 + 6}}`

Add the numbers : 16 and 6

`\dashrightarrow{ \sf{2x = 22}}`

Divide both sides by 2

`\dashrightarrow{ \sf{ (2x)/(2) = (22)/(2) }}`

Calculate

`\dashrightarrow{ \sf{x = 11}}`

Hope I helped!

Best regards! :D