-1/4 (x-12)+1/2(x+2)=4+x
Simplify the equation.
-1/4x + 3 + 1/2x + 1 = 4 + x
Add like terms.
(-1/4x+1/2x) + (3+1) = 4 + x
(1/4x) + (4) = 4 + x
Move (x) onto the left side of the equal sign, and move (4) to the right side.
So, you're basically subtracting 4 from both sides, as well as subtracting x from both sides.
1/4x - x = 4 - 4
-3/4x = 0
x = 0
To check our work:
Plug in (0) for (x)
-1/4 (0 - 12) + 1/2 (0+2) = 4+ 0
-1/4 (-12) + 0 + 1 = 4
3+1=4
4=4
So, your answer is x=0
~Hope I helped!~
