Question

Gwyneth begins solving for x in the equation 2 (x minus 4) = 5 (4 minus 2 x) + 4 x. After applying the distributive property and combining like terms, which equation will Gwyneth have to solve in order to determine the value of x?

Answer 1

`2(x-4)=5(4-2x)+4x`

`2x-8=20-10x+4x`

`2x+10x-4x=20+8`

`8x=28\\x=(28)/(8)`

`x=(28/4)/(8/4)=(7)/(2) \\x=(7)/(2)`

Answer 2

2 x minus 8 = 20 minus 6 x

Explanation: