Question

10-2 (2x+1) = 4 (x-2)

Answer 1

x=2

10-2(2x+1)=4(x-2)

10-4x-2=4x-8

10-2=8x-8

8=8x-8

16=8x

2=x

Answer 2

X = 2

Explanation:

`\sf \: First, solve \: the \: brackets.`

`\sf \: 10 - 2(2x + 1) = 4(x - 2) \\ \sf10 - 4x - 2 = 4x - 8 \: \: \: \: \: \: \:`

`\sf \: Combine \: like \: terms .`

`\sf8 - 4x = 4x - 8`

`\sf \: Subtract \: 4x \: from \: both \: sides \: to \: remove \: 4x.`

`\sf \: 8 - 4x - 4x = 4x - 8 - 4x \\ \sf8 - 8x = - 8`

`\sf \: Subtract \: 8 \: from \: both \: sides \: to \: remove \: 8.`

`\sf8 - 8 - 8x = - 8 - 8 \\ \sf - 8x = - 16`

`\sf \: Divide \: both \: sides \: by \: -8.`

`\sf \: x = 2`