Question

What value of x satisfies the equation below?
12 (x − 2) + 3x = 1/2 (x + 6) + 2

Answer 1

Explanation:

`12(x-2)+3x = (1)/(2)(x+6)+2\\\\12*x-12*2+3x=(1)/(2)x+(1)/(2)*6+2\\\\12x - 24+3x =(1)/(2)x+1*3+2\\\\15x - 24 = (1)/(2)x+3+2\\\\15x-24=(1)/(2)x+5\\\\15x-(1)/(2)x-24=5\\\\(15*2)/(1*2)x-(1)/(2)x=5+24\\\\(30)/(2)x-(1)/(2)x=29\\\\(29)/(2)x=29\\\\x=29*(2)/(29)\\\\x=2`