Question

4(2x -3) + 8(x - 4) = 2(2x + 6) solve for x

Answer 1

x = 14/3 or x =4.6

Explanation:

4(2x -3) + 8(x - 4) = 2(2x + 6)

distribute 4 through parentheses

8x-12+8(x - 4) = 2(2x + 6)

then distribute 8 and 2

8x-12+8x-32=4x+12

collect terms

16x-12-32=4x+12

move the x to the other side and change the sign

16x-4x-44=12

move 44 to the other side and change the sign

16x-4x=12+44

collect like terms

12x=12+44 --> 12x=56

divide

x=14/3 or x+4.6

hope this helps! :)

Answer 2

x =
`4(2)/(3)`

Explanation:

4(2x - 3) + 8(x - 4) = 2(2x + 6)

open parenthesis

8x - 12 + 8x - 32 = 4x + 12

combine like terms

8x + 8x - 32 - 12 = 4x + 12

16x - 44 = 4x + 12

subtract 4x from both sides

16x - 4x - 44 = 12

12x - 44 = 12

add 44 to both sides

12x = 12 + 44

12x = 56

divide both sides by 12

12x/12 = 56/12

x = 4.666 repeating