Question

What is -3(x+5)=6-3(2x+4)

Answer 1

Given : -3(x+5) = 6 - 3(2x+4)

`:\implies` -3(x) + (-3)(5) = 6 - 3(2x) + (-3)(4)

`:\implies` -3x + (-15) = 6 - 6x + (-12)

`:\implies` -3x - 15 = 6 - 6x - 12

`:\implies` -3x - 15 = -6x - 6

`:\implies` -3(x + 5) = -3(2x + 2)

`:\implies` x + 5 = 2x + 2

`:\implies` 2x - x = 5 - 2

`:\implies` x = 3

Answer 2

x = 3

Explanation:

Distribute the 3 to (x + 5) and -3 to (2x + 4), which gives you the equation, -3x -15 = 6 - 6x - 12. Next, you need to add the like terms, which are 6 and -12. Adding them together gets you -6, so the equation is -3x -15 = -6 - 6x. Then add the -3x to both sides and the equation becomes, -15 = -6 - 3x. Then add 6 to both sides, which gives you -9 = -3x, and divide -9 by -3 and the answer is 3.