Question

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

Answer 1

Answer:

Step-by-step explanation:

$12(x-2)+3x = \frac{1}{2}(x+6)+2\\\\12*x-12*2+3x=\frac{1}{2}x+\frac{1}{2}*6+2\\\\12x - 24+3x =\frac{1}{2}x+1*3+2\\\\15x - 24 = \frac{1}{2}x+3+2\\\\15x-24=\frac{1}{2}x+5\\\\15x-\frac{1}{2}x-24=5\\\\\frac{15*2}{1*2}x-\frac{1}{2}x=5+24\\\\\frac{30}{2}x-\frac{1}{2}x=29\\\\\frac{29}{2}x=29\\\\x=29*\frac{2}{29}\\\\x=2$